Question

Two numbers are in ratio 5:3 . If they differ by 18 ,what are the numbers?

Answer 1

Let the common ratio be x
5x-3x=18
2x=18
X=18/2
X=9


Hope it helps you! :-)

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Numbers are 45 and 27.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

The ratio of Numbers = 5 : 3

They differ by = 18

To find :

The numbers

Solution :

Consider the numbers as

• 5x
• 3x

★ $\boxed{\sf{5x - 3x = 18}}$

$\sf{\implies} \: 5x - 3x = 18$

$\sf{\implies} \: 2x = 18$

$\sf{\implies} \: x = \dfrac{18}{2}$

$\sf{\implies} \:x = 9$

$\rule{300}{1.5}$

★ Value of 5x

$\sf{\implies} \:5 \times 9$

$\sf{\implies} \:45$

★ Value of 3x

$\sf{\implies} \:3 \times 9$

$\sf{\implies} \:27$

$\therefore$ The Numbers are 45 and 27.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \:5(9) - 3(9) = 18$

$\sf{\implies} \:45 - 27= 18$

$\sf{\implies} \:18 = 18$

$\therefore$ The Numbers are 45 and 27.