Question

A number between 10 and 100 is 4 times the sum of its digits and if 18 is added to it, the digits will be reversed. Find the number

Answer 1

No. = 10a + b

4a+4b=10a + b

3b=6a

b=a/2

10a+b +18 = 10b+a

9a+18=9b

b=a+ 2=a/2

2=a/2 -a = -a/2

a/2=-2

a=4

b=4+2=6

No. 46