Question

There are 2 numbers.one is 5 more than other.also,5 times the smaller is equal to 4 times the larger number.what are the numbers

Answer 1

Let the smaller number be X.
Then the larger number will be X+5
ATQ,
5X=4(X+5)
5X=4X+20
5X-4X=20
X=20
THEREFORE THE SMALLEST NUMBER IS 20   AND 
THE LARGEST NUMBER IS 25

Answer 2

Let the smaller number be A and larger number be B.
Given:
5 + A = B......................(1)
5A = 4B.........................(2)

Solution:

Substitute (1) in (2)

5A = 4(5 + A)

5A = 20 + 4A

5A - 4A = 20

A = 20

Substitute A in (1)

B = 5 + 20

B = 25

Hence the larger number is 25 and smaller number is 20.