Question

Please give me answer of this question no 19

Answer 1

Given : 3/5 of a number exceeds its 2/7 by 44.

To Find : The number.

ㅤㅤ━━━━━━━━━━━━━━

❍ Let us assume, that the number is 'x'.

${\boldsymbol{\underline{According \: to \: the \: question,}}}$

• 3/5 of x exceeds its 2/7 by 44.

$\tt{ \therefore \: \dfrac{3x}{5} - \dfrac{2x}{7} = 44}$

$\sf{ : \: \implies \: \dfrac{3x}{5} - \dfrac{2x}{7} = 44}$

$\sf{ : \: \implies \: \dfrac{21x - 10x}{35} = 44}$

$\sf{ : \: \implies \: 11x = 44 × 35}$

$\sf{ : \: \implies \: x = \dfrac{44 × 35}{11} }$

$\sf{ : \: \implies \: x = 140}$

Hence,

ㅤㅤ➲ The required number is 140.