Question

if two numbers are in the ratio 7.9 and their sum is 144 find the numbers​

Answer 1

Answer:

let the no.7x and 9x

then 7x+9x = 144

16x=144

x=144/16

x=9

Answer 2

Answer :-

• The numbers are 63 and 81.

Given :-

• Two numbers are in the ratio 7 : 9.
• Their sum is 144.

To find :-

• The numbers.

Step-by-step explanation :-

Let's understand!

Two numbers are in the ratio 7 : 9. Their sum is 144. We have to find the numbers. We know that ratio is a comparison between two units which are same. So, let's assume that the numbers are 7x and 9x. Now, these numbers will add up to 144. Therefore, let's solve the question now, using this information.

Calculations :-

Sum of the numbers is 144.

Therefore, 7x + 9x must be equal to 144.

So, let's make an equation.

Thus, we get :-

$\bf7x + 9x = 144$

Adding the variables,

$\bf16x = 144$

Transposing 16 from LHS to RHS, changing it's sign,

$\bf x = \dfrac{144}{16}$

Dividing 144 by 16,

$\bf x = 9.$

The value of x is 9.

Thus, the numbers are as follows :-

$\bf7x = 7 \times 9 = 63.$

$\bf9x = 9 \times 9= 81.$

Therefore, the numbers are 63 and 81.

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Verification :-

To check our answer, let's add up the numbers and see whether we get 144 (Since their sum is 144, as given in the question)

$\bf63 + 81 = 144.$

$\bf Since \: their \: sum \: is \: 144,$

$\bf Hence \: verified!$

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