Question

5. The sum of digits of a two digit number is 11. When the digits are interchanged
the new number formed is less than the original number by 27. Find the
The sum of ages of son and father is 56 years. After four years the age of
original numbers.
Find the​

Answer 1

Answer:

Let the original no be 10a+b

a+b=11(given)--------(1)

After interchanging the digits the no becomes 10b+a

A/Q

10a+b-(10b+a)=27

10a+b-10b-a=27

9a-9b=27

9(a-b)=9(3)

a-b=3

a=3+b---------(2)

Putting the value of (2) in (1)

3+b+b=11

2b=8

b=4

putting the value of b in (2)

a=3+4

a=7

Original no=10a+b

=10×7+4

=74