Answer:
b is greater than a by 1/4 of a
Step-by-step 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 :
[tex]a=b-\frac{b}{5}[/tex]
_________
[tex]\rightarrow a = \frac{5b-b}{5} =\frac{4b}{5}[/tex]
[tex]a=\frac{4b}{5} \Longrightarrow 5a=4b[/tex]
[tex]5a=4b\Longrightarrow b=\frac{5a}{4}[/tex]
[tex]\Longrightarrow b=\frac{5a}{4} =\frac{4a+a}{4}=\frac{4a}{4}+\frac{a}{4}=a+\frac{a}{4}[/tex]
