If a number exceeds another number by 13 and the larger number is 5 times the smaller number, then the smaller number is:

If a number exceeds another number by 13 and the larger number is 5 times the smaller number, then the smaller number is:

A 13

B 26

C 31

D None of these

Solution

Correct Answer: Option B

let larger number = x

and smaller number = y

Now,

x - y = 13 ....... (1)

1.5*y = x ............ (2)

From (1) and (2),

1.5y - y = 13

0.5y = 13

y/2 = 13

y = 26