Question

three numbers are in the ratio 2:3:4 .if the sum of squares of these numbers is 116, then determine the number​

Answer 1

$\huge\bold{Answer:}$

Let ,

The numbers be 2x, 3x, 4x

Squares of the numbers →

2x², 3x², 4x²

ATQ

2x² + 3x² + 4x² = 116

→ 4x² + 9x² + 4x² = 116

→ 29x² = 116

→ x = $\frac{116}{29}$

→ x² = $\sqrt{4}$

→ x = 2

Therefore,

The numbers are :-

2 ,

2 × 3 = 6 ,

2 × 4 = 8

.

.

.

$\huge{Thankyou}$

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