Question

the difference of two numbers is 2.And difference of their squares is 28 . find the sum of the numbers​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

The difference of the two numbers is 2

a−b=2

⟹a=b+2

and the difference of their squares is 28.

a2−b2=28

⟹(a−b)(a+b)=28

Substitute (a-b) with 2, and you get

2(a+b)=28

⟹a+b=282

⟹a+b=14.

So the sum is 14, and a=b+2 so the numbers are 8 and 6.

Proof:

8−6=2

82−62

⟹(8−6)(8+6)

⟹2×14=28