Answer:
The number b is bigger than the number a by [tex]\dfrac{1}{4}[/tex] of a.
Step-by-step explanation:
1. If the number a is smaller than the number b by 1/5 of b, then
[tex]a+\dfrac{1}{5}b=b.[/tex]
Thus,
[tex]a=b-\dfrac{1}{5}b=\dfrac{4}{5}b,\\ \\b=\dfrac{5}{4}a.[/tex]
2. Consider the expression [tex]b=\dfrac{5}{4}a:[/tex]
[tex]b=\dfrac{5}{4}a=\dfrac{4}{4}a+\dfrac{1}{4}a=a+\dfrac{1}{4}a.[/tex]
This gives you that the number b is bigger than the number a by [tex]\dfrac{1}{4}[/tex] of a.
