Math, asked by sumansaha6, 11 months ago

three numbers Rs 5:7:9 respectively if the sum of the first and the third be greater than the second by 42 then the sum of the three numbers will be​

Answers

Answered by ihrishi
1

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, given numbers will be 5x, 7x and 9x.

According to the given information:

5x + 9x = 7x + 42

14x - 7x = 42

7x = 42

 \therefore \: x =  \frac{42}{7}  \\  \therefore \: x =  6 \\ hence \\ 5x = 5 \times 6 = 30 \\ 7x = 7 \times 6 = 42 \\ 9x = 9 \times 6 = 54 \\

Now,

Sum of the numbers = 30+42+54=126

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