RRB Group-D Model Paper 11 with answers for online practice

Question : 41 of 100

Marks: +1, -0

Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 2349, then the numbers are

Solution:

Since the numbers are in a ratio 2 : 3 : 4, let the number be 2x, 3x and 4x

According to the question,

$(2x)^2+ (3x)^2+ (4x)^2 = 2349$

⇒ $4x^2 + 9x^2 + 16x^2 = 2349$

⇒ $29x^2 = 2349$

$⇒ x^2= 81$

⇒ x = 9

∴ The numbers are 18, 27 and 36

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