Question

Two numbers are in the ratio 5 :7. If their sum is 252, the larger of the two numbers is

Answer 1

Answer:

$105$ & $147$ are the two numbers

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Answer 2

To find : larger number

Given : Two numbers are in the ratio $5 : 7$

            sum of numbers is $252$

Solution :  

• Let , two numbers in ratio be $5x$ and $7x$ .
• Then according to question we are given that sum of numbers is $252$ .
• Therefore , we write as $5x + 7x = 252$
• Solving above equation by adding variable terms and the subtracting constants.

        $5x + 7x = 252$  

            $12x = 252\\x = \frac{252}{12} \\x = 21$

• Now , finding numbers , $5x = 5 \times 21 = 105$

                                          $7x = 7 \times 21 = 147$  

Hence , larger number is $147$.