Question

Sum of two digits of a 2-digit number is 12. If the digits are reversed, the new number, so formed increases by 36. Find the number

Answer 1

Answer:

let the digits be =x,y

the number=10x+y

given

case1: x+y=12-------------(1)

case2:

10y+x=10x+y+36

=9y-9x=36

=y-x=4

=x-y=-4-----------(2)

(1)+(2)= 2x=8

=x=4

=y=8

the number is 48

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