Question

two numbers are in the ratio 5:3 if they differ by 18 what are the numbers

Answer 1

Given: Two numbers are in the ratio 5 : 3

           Difference between these numbers is 18.

To find: The numbers

Let: Numbers be $x$ and $y$

Solution: According to the given question,

$\frac{x}{y} = \frac{5}{3}$

⇒ $3x = 5y$   ...(1)

also, $x - y = 18$     OR     $x = 18 + y$ ...(2)

Putting $x = 18 + y$ in equation (1)

⇒ $3 (18 + y) = 5y$

⇒ $54 + 3y = 5y$

⇒ $5y - 3y = 54$

⇒ $2y = 54$

⇒ $y = \frac{54}{2} = 27$

Putting $y = 27$ in equation (2)

⇒ $x = 18 + 27 = 45$

Hence, the numbers are 45 and 27.

Answer 2

Answer:

Let the two number be 5x and 3x

ACCORDING TO QUESTION

5x-3x=18

2x=18

x=18/2

x=9..®

Step-by-step explanation:

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