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A two-digit number is 4 times the sum of its digits. Adding 27 to it reverses its digits. What is the number?

Competition practiceNumber System, HCF & LCM

A36
B63
C24
D48

Step-by-Step Solution

10 a + b = 4 (a + b)

gives

b = 2 a

. Reversal adds

9 (b - a) = 27

, so

b - a = 3

. Hence

a = 3, b = 6

: the number is

36 (36 = 4 \times 9

and 36 + 27 = 63).

Answer: A) 36

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