Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2016 · Marks: · Difficulty:
The difference between two numbers is 10 and one-fifth of their sum is equal to 8. Find the smaller number
(a)28
(b)45
(c)35
(d)15
Answer
Answer (as printed): D
Explanation
Let the numbers be a and b where a > b. According to the questions, a – b = 10 …..(i) a+b And =8 5 QUANTITATIVE APTITUDE By cross multiplying, we get ⇒ a + b = 40 …(ii) By subtracting equation ( ii) from (i) we get 2b = 40 – 10 = 30 30 ⇒ b= = 15 2 And from (i) a = 10 + 15 = 25 ⇒ a = 23
Explanation as extracted from the printed page; notation may be imperfect.