Question

What are two numbers in the ratio 7:3 that have the difference of 20 between them? (With Solutions!)

Answer 1

Answer:

5×7=35 and 5×3=15

therefore 35 : 15 are 7 : 3

see the difference also = 35 - 15 = 20

Answer 2

Given :

• Two numbers are in ratio of 7:3
• They both have difference of 20 between them.

To Find :

• What are the two numbers?

Solution :

As, both number are in ratio of 7:3.

So, Let two numbers be "7x" and "3x".

Now difference between these two numbers is 20.

$\sf : \implies 7x - 3x = 20$

$\sf : \implies 4x = 20$

$\sf : \implies x = \dfrac{20}{4}$

$\sf : \implies x = \cancel{\dfrac{20}{4}}$

$\sf : \implies x = 5$

$\large \underline{\boxed{\bf{x = 5}}}$

Now, we have value of x = 5.

So, the two numbers are :

• 7x = 7 × 5 = 35
• 3x = 3 × 5 = 15

Hence, the two numbers which are in the ratio 7:3 and have the difference of 20 between them are 35 and 15.