1.

3 numbers are in the ratio 4:5:3, the sum of whose squares is 1250.Find the numbers.

Answer»

Lets take three numbers in RATIO 4:5:3be 4k,5k,3k. Sum of squares of these numbers=
16 {k}^{2} + 25 {k}^{2} + 9 {k}^{2} = 50 {k}^{2}
=> 1250=
50 {k}^{2}
=>25=
{k}^{2}
=>k=5 or-5(Not possible)
=>numbers are 20,25 and 15 RESPECTIVELY.


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