Question

8. If 27 added in the age of 'A' the age
of B obtaind, which is obtained by
interchanging the digits of the age
of A. Sum of the digits of the age of
A is 5. Find the age of A.​

Answer 1

Step-by-step explanation:

let age of A be 10x+y

thus age of B is 10y+ x

according to the statement

10x+y+27=10y+x

9x+27=9y

divide by 9

x+3=y

x=y-3..........(equation 1)

according to the statement

x+y=5

substitute value from equation 1

y-3+y=5

2y=8

y=4

x=y-3. from equation 1

x=4-3

x=1

therefore the no. is 10x+y=10*1+4

=14

thus age of A is 14 years