Exams › SSC CGL (Prelims) › General

A two-digit number is 4 times the sum of its digits. If the digits are interchanged, the new number is 18 more than the original. Find the number.

1. 18
2. 24
3. 36
4. 42

Correct answer: 24

Solution

Let the number be \(10x+y\). From the first condition, \(10x+y=4(x+y)\), so \(6x=3y\) and \(y=2x\). Reversing digits gives \(10y+x=10x+y+18\), which leads to \(y-x=2\). Solving gives \(x=2, y=4\), so the number is 24.

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