Question

The number a is less than the number b by 1/5 of b. By what part of a is b greater than a?

Answer 1

0.25

Explanation:

Answer 2

b is greater than a by 1/4 of a

Explanation:

The statement “The number a is less than the number b by 1/5 of b”

means “if we subtract one fifth of b from b itself we get a”

we write this mathematically like this :

`a=b-(b)/(5)`

_________

`\rightarrow a = (5b-b)/(5) =(4b)/(5)`

`a=(4b)/(5) \Longrightarrow 5a=4b`

`5a=4b\Longrightarrow b=(5a)/(4)`

`\Longrightarrow b=(5a)/(4) =(4a+a)/(4)=(4a)/(4)+(a)/(4)=a+(a)/(4)`