Question

The ratio of two numbers is 5:2. If their sum is 84, what is the smallest number?

Answer 1

Step-by-step explanation:

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Answer 2

To find : smallest number

Given : The ratio of two numbers is $5:2$ and their sum is $84$ .

Solution :

• As per given data we know that ratio of two numbers is $5:2$ and their sum is $84$ .
• Let , $5x$ and $2x$ be the numbers in ratio .
• Then as per given condition we write as , $5x + 2x = 84$
• Using transposition method we find the value of $x$ .

• $5x + 2x = 84$  

        $7x = 84 \\ x = 12$

• Now , largest number = $5x = 5\times 12 = 60$

                  smallest number = $2x = 2\times 12 = 24$

Hence , smallest number is $24$ .