Question

the sum of the two digits of a two digit number is 11.reversing the digits increases the digit increases the number by 45.what is the number

Answer 1

Let units place be'x'
and tens place be 'y'

The no.is:10y+x

By Qn,

x+y=11-----------(1)

Again By Qn,
10x+y=10y+x+45
ie

9x-9y=45
ie
x-y=5---------(2)

(1)+(2)》2x=16
x=8
ie
(2)》y=x-5=8-5=3

Thus the no. is 38