Question

Two numbers are in the ratio 5:8 . If the sum of the numbers is 182 then find the numbers *
( 84 ,120 )
( 46 ,98 )
( 70 ,112 )
( 14 ,70 )

Answer 1

Given that:

• Two numbers are in the ratio 5 : 8.
• The sum of the numbers is 182.

To Find:

• What are the numbers?

Let us assume:

• One number be 5x.
• Another number be 8x.

According to the question.

↠ 5x + 8x = 182

↠ 13x = 182

↠ x = 182/13

↠ x = 14

The number are:

• One number = 5x = 5(14) = 70
• Another number = 8x = 8(14) = 112

Answer 2

Answer:

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Question :-} }}}$

• Two numbers are in the ratio 5:8 . If the sum of the numbers is 182 then find the numbers.

$\qquad\qquad\underline{\textsf{\textbf{ \color{green}{Given :-} }}}$

• Two numbers are in the ratio 5:8 . If the sum of the numbers is 182.

$\qquad\qquad\underline{\textsf{\textbf{ \color{blue}{Find\: Out :-} }}}$

• Find the numbers.

$\qquad\qquad\underline{\textsf{\textbf{ \color{pink}{Solution :-} }}}$

Since the ratio is 5:8

So let the numbers be 5x and 8x.

☣ According to the question

☢ Their sum is 182.

➙ 5x + 8x = 182.

➙ 13x = 182

➙ x = $\sf \cancel{\dfrac{182}{13}}$

➙ ${\small{\bold{\purple{\underline{x =\: 14}}}}}$

Hence the numbers are :-

✎ 5x = 5 × (14) = $\red{ \boxed{\sf{70}}}$

✎ 8x = 8 × (14) = $\red{ \boxed{\sf{112}}}$

Henceforth, the numbers are 70 and 112.

Correct options is (c) 70, 112.