Question

two number are in the ratio 5: 8 the sum of number is 182 then the number is

Answer 1

5x + 8x = 182
13x = 182
X= 182/13 = 14
5x = 70
8x= 112

Ans is 182 and 70

Answer 2

Method 1 by ratio

Sum up the ratio 5+8 = 13
now given the sum of numbers is 182
so
$\frac{5}{13} \times 182 = 5 \times 14 = 70$
second number
$\frac{8}{13} \times 182 = 8 \times 14 = 112$

Method 2 by algebraic expressions

let numbers be 5x and 8x
so given
$5x + 8x = 182 \\ 13x = 182 \\ x = 182 \div 13 \\ x = 14 \\ 5x = 5 \times 14 = 70 \\ 8x = 8 \times 14 = 112$
hope it helps