Question

The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number?​

Answer 1

Answer:

The number is:

• $n = 40$

Step-by-step explanation:

Let 'n' be the number

• Increasing a number by 20% = (n + n×20/100)

• Decreasing a number by 14% = (n - n×15/100)

As the difference between increasing a number by 20% and decreasing the same number by15% is 14.

Thus, the expression becomes

$\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14$

$n+\frac{n}{5}-n+\frac{3n}{20}=14$

$\frac{7n}{20}=14$

Multiply both sides by 20

$\frac{7n}{20}\cdot \:20=14\cdot \:20$

$7n=280$

Divide both sides by 7

$\frac{7n}{7}=\frac{280}{7}$

$n=40$

Thus the number is:

• $n = 40$