Question

Q7. Two-third of a number is greater than three-fifth of the number by 12. Find the number.​

Answer 1

SOLUTION:-

Let the number be x

According to question

$\frac{2}{3} x = \frac{3}{5}x + 12 \\ \\ \frac{2}{3} x - \frac{3}{5} x = 12 \\\\ \frac{10x - 9x}{15} = 12 \\ \\ \frac{x}{15} = 12 \\ \\x = 15 \times 12 \\\\ x = 180$

Number=180

Verification:-

$\frac{x}{15} = 12 \\ \frac{180}{15} = 12 \\ 12 = 12$

Hence verified.

Answer 2

ANSWER:-

Given:

Two-third of a number is greater than three-fifth of the number by 12.

To find:

Find the number.

Solution:

Let the number be x.

Two- third of the number= 2x/3

Three- fifth of the number= 3x/5

According to this question:

$= > \frac{2x}{3} - \frac{3x}{5} = 12 \\ \\ = > \frac{10x - 9x}{15} = 12 \\ \\ = > \frac{x}{15} = 12 \\ \\ = > x = 15 \times 12 \\ \\ = > x = 180$

Hence,

The number is 180.

Hope it helps ☺️