A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits… · ABC26GN1642
Subject: General Aptitude · Chapter: Problems on Numbers
A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number.
Answer
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Explanation
Let the ten’s digit be x. Then, unit’s digit = (9 – x). Number = 10x + (9 – x) = 9x + 9. Number obtained by reversing the digits = 10 (9 – x) + x = 90 – 9x. \ (9x + 9) – 63 = 90 – 9x ⇔ 18x = 144 ⇔ x = 8. So, ten’s digit = 8 and unit’s digit = 1. Hence, the required number is 81.
Explanation as extracted from the printed page; notation may be imperfect.
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