Question

If two numbers are in the ratio 9: 2 and their difference is 623, then find the numbers.​

Answer 1

Answer:

801 and 178

Step-by-step explanation:

Let the numbers be 9x and 2x respectively.

Therefore, the difference between them= 9x - 2x = 7x

Given, 7x = 623

or, x = 623/7 = 89

Therefore, x = 89

Therefore the numbers are (9 × 89) and (2 × 89) or 801 and 178

Answer 2

Answer

• The numbers are 801 and 178.

Given

• Two numbers are in the ratio 9 : 2 and their difference is 623.

To Find

• Both the numbers.

Step By Step Explanation

Assumption :

Let assume that the numbers be 9x and 2x.

Equation :

Now according to the question equation will be ⤵

$\bigstar \: \: \: \: \: \: \:\underline{\boxed{ \bold{ \red{9x - 2x = 623}}}}$

Solution of Equation :

Let us solve the above equation.

$\longmapsto \sf9x - 2x = 623 \\ \\ \longmapsto \sf 7x = 623 \\ \\ \longmapsto \sf x = \cancel\cfrac{623}{7} \\ \\ \longmapsto \sf x = 89 \\ \\ \sf{ 9x \implies9 \times 89 \implies} \underline{\boxed{\bold{\pink{801}}}} \: \: \: \: \: \dag \\ \\ \sf{ 2x \implies2\times 89 \implies}\underline{\boxed{\bold{\green{178}}}} \: \: \: \: \: \dag$

Therefore, the numbers are 9x = 801 and 2x = 178.

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