Question

The ratio of two numbers is 7:5. If the difference between these numbers is 12, find the
numbers.​

Answer 1

$\huge\underline{\underline{Question:}}$

The ratio of two numbers is 7:5. If the difference between these numbers is 12, find the numbers.

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$\huge\underline{\underline{To\:Find:}}$

• The two numbers.

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$\huge\underline{\underline{Taken:}}$

Let the numbers be 7x and 5x.

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$\huge\underline{\underline{Given:}}$

• Difference of two numbers = 12
• Ratio = 7 : 5

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$\huge{\boxed{Solution}}$

ATQ

$7x - 5x = 12$

So , from here we can find the value of x.

$\Rightarrow 7x - 5x = 12$

$\Rightarrow 2x = 12$

$\Rightarrow x = \dfrac{12}{2}$

$\Rightarrow x = 6$

${\boxed{\therefore x = 6}}$

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Hence the two numbers are:

• $7x \rightarrow 7 × (2)$

$7x \rightarrow 14$

${\boxed{\therefore one\:number\:is\:14}}$

• $5x \rightarrow 5 × (2)$

$5x \rightarrow 10$

${\boxed{\therefore other\:number\:is\:10}}$

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$The\:two\:numbers\:are\:14\:and\:10$