Question

Four-fifths of a number is 10more than two-thirds of the number. Find the number

Answer 1

Answer:

The number is 75.

Step-by-step explanation:

Let the number be x.

The information provided is:

$\frac{4}{5}x=10+\frac{2}{3}x$

Solve the above equation for x as follows:

$\frac{4}{5}x=10+\frac{2}{3}x\\\frac{4}{5}x-\frac{2}{3}x =10\\\frac{12x-10x}{15}=10\\\frac{2x}{15}=10\\x=\frac{15\times10}{2}\\=75$

Thus, the number is 75.