ABC26GN2933 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

Find three numbers in the ratio of 3 : 2 : 5 such that the sum of their squares is equal to 1862.

Answer

Answer (as printed):

Explanation

Let the numbers be $3 x, 2 x$ and $5 x$. Then, $(3 x)^{2}+(2 x)^{2}+(5 x)^{2}=1862 \Rightarrow 9 x^{2}+4 x^{2}+25 x^{2}=1862 \Rightarrow 38 x^{2}=1862 \Rightarrow x^{2}=49 \Rightarrow x=7$. Hence, the numbers are 21, 14 and 35.

Explanation as extracted from the printed page; notation may be imperfect.

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