Question

two numbers are in the ratio 7:8 .if the sum of the numbers is 135 .find the numbers ​

Answer 1

Question :

To find numbers.

Answer :

Given :

• 2 numbers are in ratio 7:8

• The sum of numbers is 135

Let's do ::

Let , numbers be 7x and 8x

$➝ \sf \: \: 7x + 8x = 135 \\ \\ ➝\sf \: \: 15x \: = 135 \\ \\ ➝\sf \: \: x = \: \frac{135}{15} \\ \\ \bf \: ➝ \: \: x = 9$

So, X is 9.

Ratio is 7:8, 7x : 8x

$\sf➝ \: \: 7x \\ \\\sf➝ \: \: 7 \times 9 \\ \\ \bf \: ➝ \: \: 63$

$\sf➝ \: \: 8x \\ \\ ➝ \: \: \sf \: 8 \times 9 \\ \\ \bf➝ \: \: 72$

So the numbers are 63 and 72.

Let's verify::

$= > \sf \: 63 \: + \: 72 = 135 \\ \\ \sf \: = > 135 = 135$

$\bf \: LHS \: = \: RHS \:$

Thus solved !!

Answer 2

Given :

★ Two numbers are in ratio = 7:8

★ Sum of two numbers is = 135

To Find :

★ The Numbers .

Solution :

Let :

• 1st Number be = 7x
• 1st Number be = 7x2nd Number be = 8x

Now :

7x + 8x = 135

15x = 135

x = 135/15

x = 9

Therefore , The Value of x is 9 .

So :

1st Number = 7x

= 7(9)

= 63

2nd Number = 8x

= 8(9)

= 72

Hence , The two numbers are 63 and 72 $.$