Question

In a 2 - digit number, the one's digit is 5 less than the ten's digit.

If the number is equal to 8 times the sum of its digits, find the number.

• A. 72
• B. 64
• C. 80
• D. 24

Answer 1

The correct option is A

72

Let the digit in the ten’s place be x. Then the one's place digit will be x – 5.

Therefore the number is 10x + x – 5.

10x + x – 5 = 8(x + x – 5) (given)

11x – 5 = 16x – 40

- 5 + 40 = 16x – 11x

35 = 5x

x = 7

So, the number is 72.