Problems on Numbers

ABC26GN1681 · Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is · 2006

ABC26GN1682 · The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit's place is 3 more than the… · 2004

ABC26GN1684 · Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is

ABC26GN1686 · The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is

ABC26GN1688 · The sum of two numbers is 25 and their difference is 13. Find their product.

ABC26GN1689 · If the sum of two numbers is 33 and their difference is 15, the smaller number is

ABC26GN1690 · The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is

ABC26GN1691 · The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers?

ABC26GN1692 · There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first…

ABC26GN1693 · What is the greater of the two numbers whose product is 1092 and the sum of the two numbers exceeds their difference by 42? · 2008

ABC26GN1694 · The difference between two integers is 5. Their product is 500. Find the numbers. · 2003

ABC26GN1695 · Two numbers differ by 5. If their product is 336, then the sum of the two numbers is

ABC26GN1696 · Two different natural numbers are such that their product is less than their sum. One of the numbers must be

ABC26GN1744 · In a two-digit positive number, the digit in the unit's place is equal to the square of the digit in ten's place, and the difference… · 2008

ABC26GN1698 · The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is…

ABC26GN1699 · The difference between two numbers is 16. If one- third of the smaller number is greater than one- seventh of the larger number by 4, then…

ABC26GN1702 · The sum of two positive integers multiplied by the bigger number is 204, and their difference multiplied by the smaller number is 35. The…

ABC26GN1703 · If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their squares is

ABC26GN1706 · The product of two numbers is 120 and the sum of their squares is 289. The sum of the numbers is · 2004

ABC26GN1708 · The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are · 2006

ABC26GN1709 · The difference between two positive integers is 3. If the sum of their squares is 369, then the sum of the numbers is · 2003

ABC26GN1710 · If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is

ABC26GN1712 · The difference between two numbers is 3 and the difference between their squares is 63. Which is the larger number? · 2009

ABC26GN1714 · Out of six consecutive natural numbers if the sum of first three is 27, what is the sum of the other three? · 2010

ABC26GN1715 · The sum of seven consecutive numbers is 175. What is the difference between twice the largest number and thrice the smallest number? · 2010

ABC26GN1718 · Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is · 1998

ABC26GN1719 · The sum of four consecutive even integers is 1284. The greatest of them is

ABC26GN1720 · The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?

ABC26GN1722 · The sum of three consecutive multiples of 3 is 72. What is the largest number?

ABC26GN1723 · What is the sum of two consecutive even numbers, the difference of whose squares is 84? · 2003

ABC26GN1724 · The sum of the squares of three consecutive natural numbers is 2030. What is the middle number?

ABC26GN1725 · If the product of three consecutive integers is 120, then the sum of the integers is · 2006

ABC26GN1726 · There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first and twice the…

ABC26GN1727 · In a two-digit number, the digit in the unit's place is four times the digit in ten's place and sum of the digits is equal to 10. What is…

ABC26GN1728 · A number of two digits has 3 for its unit's digit, and the sum of digits is 1/7 of the number itself. The number is · 2003

ABC26GN1729 · If a number of two digits is k times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits… · 2005

ABC26GN1730 · A two-digit number exceeds the sum of the digits of that number by 18. If the digit at the unit's place is double the digit in the ten's…

ABC26GN1731 · The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

ABC26GN1732 · A two-digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than the original… · 2006

ABC26GN1733 · If the digit in the unit’s place of a two-digit number is halved and the digit in the ten’s place is doubled, the number thus obtained is… · 2005

ABC26GN1734 · In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the… · 2003

ABC26GN1735 · A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting… · 2003

ABC26GN1736 · The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit's place of the number?

ABC26GN1737 · The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the… · 2003

ABC26GN1740 · The sum of the digits of a two-digit number is 1/5 of the difference between the number and the number obtained by interchanging the…

ABC26GN1741 · The number obtained by interchanging the two digits of a two-digit number is lesser than the original number by 54. If the sum of the two… · 2009

ABC26GN1742 · The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum…

ABC26GN1743 · In a two-digit positive number, the digit in the unit's place is equal to the square of the digit in ten's place, and the difference… · 2008

ABC26GN1745 · A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99… · 2003

ABC26GN1746 · A two-digit number becomes five-sixth of itself when its digits are reversed. The two digits differ by one. The number is