Question

Four-thirds times the sum of a number and 8 is 24. What is the number?

Answer 1

Given :

Four third times the sum of a number and 8 is 24

To find :

➡ The other number =?

Solution :

Let x be the sum of numbers =x+8

Total =24

$\: \: \: \sf\Large\boxed{\pink{\sf \: according \: to \: given \: condition}}$

$\\ \implies \sf \: \frac{3}{4} (x + 8) = 24$

$\\ \implies \sf \: 3x + 8 = 96$

$\\ \implies \sf \: 3x = 96 - 8$

$\\ \implies \sf \: 3x = 88$

$\implies \sf \boxed{ \sf x = \frac{88}{3} }$

$\bf \: \frac{3}{4} th \: of \: the \: number \: = \sf\frac{3}{4} \times \frac{88}{3} = \boxed{ 22}$

Answer =22