Question

Three numbers are in ratio 1:3:4 and the sum of their cubes is 122452. Find the numbers.​

Answer 1

Answer:

Here is the answer:

Step-by-step explanation:

Let the numbers be x.

Sum =x+3x+4x

=8x.

A.T.Q = x^3+3x^3+4x^3=122452

x^3+27x^3+64x^3=1224452

92x^3=122452.

So x^3=122452/92

=1331

So x= cube root 1331.

x=11.

So the numbers =11,11(3) and 11(4)

So the required numbers are 11,33 and 44.

HOPE IT HELPS.