Question

The difference between two positive numbers
is 4 and the difference between their cubes is
316. Find :
(i) their product.
ii) the sum of their squares.​

Answer 1

Let two positive numbers are a and b.

As given

a−b=4 ………………(1)

and

a3−b3−316 ………….(2)

We know that

(a−b)3=a3−b3−3ab(a−b)

Substitute all values from equation (1)& (2) we get

(4)3=316−3ab(4)

⇒64=316−12ab

⇒12ab=316−64

⇒12ab=252

⇒ab=12252

⇒ab=21

So,

Their product will be 21.

Answer 2

Answer:

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