Question

Two numbers are in the ratio 7:4.if there difference is 72 , find the number

Answer 1

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

The numbers are 168 and 96.

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

Given :

Ratio of the Numbers = 7 : 4

Difference between the numbers = 72

To Find :

The numbers

Solution :

Consider the -

• One Number as 7x
• Second Number as 4x

★ $\boxed{\sf{7x-4x=72}}$

$\longrightarrow$ 7x - 4x = 72

$\longrightarrow$ 3x = 72

$\longrightarrow$ x = 72/3

$\longrightarrow$ x = 24

$\rule{300}{1.5}$

★ Value of 7x

$\longrightarrow$ 7 × 24

$\longrightarrow$ 168

One Number = 168

$\rule{300}{1.5}$

★ Value of 4x

$\longrightarrow$ 4 × 24

$\longrightarrow$ 96

Second Number = 96

$\therefore$ The numbers are 168 and 96.

$\rule{300}{1.5}$

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

$\longrightarrow$ 168 - 96

$\longrightarrow$ 72

$\therefore$ The numbers are 168 and 96.

Answer 2

Answer :-

The two numbers are 168 and 96.

Solution :-

Ratio of two numbers = 7 : 4

Consider the two numbers as 7x and 4x

Given

Difference of two numbers = 72

7x - 4x = 72

Add like terms

3x = 72

x = 72/3

x = 24

One number = 7x = 7(24) = 168

Another number = 4x = 4(24) = 96

Therefore the two numbers are 168 and 96.