their numbers are in the ratio 1 is to 2 is to 3 the sum of their cubes is 7776 - Maths - Mensuration

Question

their numbers are in the ratio 1 is to 2 is to 3 the sum of their
cubes is 7776 then the numbers are

N Dubey · Accepted Answer

Solution;
three numbers are in the ratio of 1:2:3
Let three numbers are x,2x and 3x
So, according to question
x3 + 2x3 + 3x3  = 7776x3+8x3 +27x3 = 777636x3 = 7776x3 = 777636x3 =216x3 = 63x = 6
So 1st number = 6
2nd number = 6 X 2 =12
3rd number = 6 X 3 = 18
Thus, the numbers are 6, 12 and 18

their numbers are in the ratio 1 is to 2 is to 3 the sum of their cubes is 7776 then the numbers are