Question

the ratio of two numbers is 3 ratio 1 and their sum is 72 find the difference between the numbers​

Answer 1

Given:

ratio of two numbers = 3:1

sum of the numbers = 72

To Find:

difference between the two numbers

Solution:

Let "3x" and "x" be the two numbers

$\sf{3x + x = 72}$

$\sf{\implies 4x = 72}$

$\sf{\implies x = \frac{72}{4}}$

$\implies\sf\underline\red{x = 18}$

Now,

difference between the two numbers

$\sf{\implies 3x - x }$

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

$\implies\sf\underline\red{36}$

Hence,

the difference between the two numbers is 36

Answer 2

Explanation:

Given:

ratio of two numbers = 3:1

sum of the numbers = 72

To Find:

difference between the two numbers

Solution:

Let "3x" and "x" be the two numbers

\sf{3x + x = 72}3x+x=72

\sf{\implies 4x = 72}⟹4x=72

\sf{\implies x = \frac{72}{4}}⟹x=

4

72

\implies\sf\underline\red{x = 18}⟹

x=18

Now,

difference between the two numbers

\sf{\implies 3x - x }⟹3x−x

\sf{\implies 2x = 2 \times 18}⟹2x=2×18

\implies\sf\underline\red{36}⟹

36

Hence,

the difference between the two numbers is 36