Two numbers are in the ratio 7 9 If the sum of their squares is 8320 then the sum of the two nmnbers...........

Quantitative Aptitude (MTS) Ratio, Proportion

Two numbers are in the ratio 7:9. If the sum of their squares is 8320, then the sum of the two nmnbers is:

This questions was previously asked in

SSC MTS 7th October 2021 Shift-1

128

228

120

124

To solve for the sum of two numbers in the ratio 7:9 with their squares summing to 8320, follow these steps:

- Let the two numbers be 7x and 9x.

- The sum of squares equation is: (7x)² + (9x)² = 8320.

- This simplifies to: 49x² + 81x² = 8320, or 130x² = 8320.

- Divide to find x²: x² = 8320 / 130 = 64.

- Take the square root: x = 8.

- The numbers are 7x = 56 and 9x = 72.

- Their sum is 56 + 72 = 128.

- Option 1: 128 - Correct Answer

- Option 2: 228

- Option 3: 120

- Option 4: 124

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