Question

the ratio of 2 no. is 3:5. if their difference is 20 , find the two numbers​

Answer 1

Given :-

Ratio between two numbers = 3 : 5

Let the two numbers be 3x and 5x.

ATQ,

the difference between the numbers is = 20

Therefore 5x - 3x = 20

➡ 2x = 20

➡ x = 20/2

➡ x = 10

The two numbers are :-

• 3x = 3 × 10 = 30

• 5x = 5 × 10 = 50

VERIFICATION :-

LHS :-

= 5x - 3x

= 50 - 30

= 20 = RHS

Hence verified!

Answer 2

Answer :

The two numbers are :

• 30
• 50

Step-by-step explanation :

Given :

Ratio between two numbers - 3 : 5

.

The difference between the numbers is - 20.

To Find :

The two numbers​.

Solution :

★ Consider the -  

One number as - a.

Second number as - b.

So,

$\sf\\\implies a:b= 5:3\\ \\ \\\implies \dfrac{a}{b} = \dfrac{5}{3}\\ \\ \\\implies a =\dfrac{5b}{3}\quad....E(1)$

It is given difference of the two numbers is 20.

So,

$\sf\\\implies a-b=20$

Replace\use the 'a' value from Eq..(1)

$\sf\\\implies \dfrac{5b}{3} - b=20\\ \\\implies\dfrac{2b}{3} = 20\\ \\\implies b=20\times \dfrac{3}{2}\\ \\\implies b=30\\ \\\implies a= 5\times \dfrac{30}{3}\\ \\\implies a=50.\\ \\ \\ \bigstar\;\textbf{\underline{\underline{So the numbers are 50 and 30}}}$

$\rule{300}{1.5}$

$\bigstar\;\textbf{\underline{\underline{Verification:-}}}$

⇒ a - b

⇒ 50 - 30

⇒ 20 = RHS

Hence verified!