Question

fourth fifth of a number is 10 more than two third of the number find the number

Answer 1

$hi..$
Let the number be x .

By the given condition ,

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

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

$( \frac{4}{5} - \frac{2}{3} )x = 10$

$( \frac{12 - 10}{15} )x =1 0.........(l.c.m)$

$\frac{2}{15} x = 10$

$2x = 10 \times 50$

$2x = 150$

$x = \frac{150}{2}$

$x = 75$
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Thus,
The number is 75 .
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$hope \: \: this \: \: helps.$

Answer 2

let the number be x
4x/5 = 10 + 2x/3
4x/5 - 2x/3 = 10
12x-10x/15 = 10 
2x = 150
x = 75