Question

two numbers are in the ratio of 13:9 if they differ by 24,what are two numbers

Answer 1

Answer:

let the numbers be 13x and 9x

given- 13x-9x=24

4x=24

x=6

therefore

the numbers are 13×6=78 and 9×6=54

so the numbers are 78 and 54

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Answer 2

Answer:-

The Required Two Numbers Are 78 and 54 respectively.

Explanation:-

Given:-

• The two numbers are in ratio 13 : 9.

• Difference between the numbers is 24.

To Find:-

• The Number.

Now,

• Since the ratio of the numbers is 13 : 9 so let the numbers be 13x + 9x respectively.

• Also since the difference between the numbers is positive this means the larger number is subtracted from smaller one, and clearly we can see that 13x > 9x.

Therefore ATQ:-

↦ 13x - 9x = 24.

↦ 4x = 24.

↦ x = 24/4.

↦ x = 6.

So we get the value of x = 6.

And Hence,

The Numbers are:-

• 13x = 13 × 6 = 78.

• 9x = 9 × 6 = 54.

Therefore The Numbers Are 78 and 54 respectively.