Question

two numbers are in the ratio 5:4 .if difference of their cubes is 61.find the numbers​

Answer 1

Answer:

Step-by-step explanation:

→ Let the numbers be 4x and 5x.

→ As per given condition we have,

→ (5x)³-(4x)³=61

→ 125x³-64x³=61

→ 61x³=61

→ x³=61/61

→ x³=1

→ x=1

→ Now,

→ 4x=4×1=4

→ 5x=5×1=5

→ Hence required numbers are 4 and 5.

Answer 2

Answer:

let numbers be 5x and 4x.

the cube of 5x is 125x and 4x is 64x.

A.T.Q

125x-64x =61

61x=61

x=61÷61

x=1

5x =5×1=5and 4x=4×1=4.