Question

Find two numbers whose sum is 150 and whose ratio is 9 : 6.
with Full Explanation

Answer 1

Answer :

• The two numbers are 90 and 60

Given :

• Sum is 150
• Ratio is 9:6

To find :

• Two numbers

Solution :

Given,

Ratio is 9 : 6 then,

• Let the first ratio be 9x
• Let the second ratio be 6x

• Sum is 150.

Substituting the value :

↦ 9x + 6x = 150

↦ 15x = 150

↦ x = 150/15

↦ x = 10

Finding the two numbers :

↦ 9x = 9(10) = 90

↦ 6x = 6(10) = 60

Hence,

The two numbers are 90 and 60

Verification :

↦ 9x + 6x = 150

↦ 9(10) + 6(10) = 150

↦ 90 + 60 = 150

↦ 150 = 150

Hence, Verified

Answer 2

Given:

• sum of two numbers is 150
• ratio of number = 9 : 6

To Find:

• Find the two numbers = ?

Solution:

let,

• ➤ 1 St number be 9 x.
• ➤ 2 nd number be 6 x.

sum of two numbers = 150 .

† According to the Question

$\\ \sf \dashrightarrow \: 9 \: x \: + 6\: x \: = \: 150 \degree$

$\sf \dashrightarrow \: 15 \: x \: = \: 150 \degree$

$\sf \dashrightarrow \: \: x \: = \frac{ 150 \degree }{15}$

$\sf \dashrightarrow \: \: x \: = \cancel{\frac{ 150 \degree }{15}}$

$\sf \dashrightarrow \: \: x \: = 10$

$\dashrightarrow{\underline {\boxed{\bf{ x= 10}}}}\pink\bigstar$

So, the value of x is 10

Therefore,

➛ 1st angle = 9 x = 9 ( 10 ) = 90

➛ 1st angle = 6 x = 6 ( 10 ) = 60