The units digit of a twodigit number is one more than four t

The units digit of a two-digit number is one more than four times the tens digit. The number formed by reversing the digits is 63 larger than the original number. Find the original number

A. 37
B. 47
C. 29
D. 19
E. 15

Solution

Let the number be 10x +y

y = 1 + 4x

Reverse number : (10y +x ) - ( 10x+y) = 63

9y - 9x = 63

y - x = 7 ; y = x+7

x+7 = 1+ 4x ; x = 2

y = 1+ 4*2 = 9

No. is 29 Option C