Question

If 15% of 40 is greater than 25% of a number by 2. Find the number.​

Answer 1

Answer:

The number is 16.

Explanation :

Let's say

15% of 40 is greater than 25% of $x$ by 2.

∴ Equation :

${ \implies \big(15\% \times 40 \big)- \big(25\% \times \: x \big) = 2}$

Solving for $\boldsymbol{x \: :}$

${ \implies \bigg( \dfrac{15}{100} \times 40 \bigg)- \bigg( \dfrac{25}{100} \times x \bigg) = 2}$

$\implies \bigg( \dfrac{600}{100} - \frac{25x}{100}\bigg) = 2$

$\implies \: \frac{600 - 25x}{100} = 2$

$\implies \: 600 - 25x = 100 \times 2$

$\implies \: 600 - 25x = 200$

$\implies \: 600 - 200 = 25x$

$\implies \: 400 = 25x$

$\implies \: \dfrac{400}{25} = x$

$\implies \: 16 = x$

$\sf \therefore \: The \: value \: of \: \boldsymbol{x} \: is \: 16$