# If a – b = 3 and a2 – b2 = 25, then find the sum of both the variables ‘a’ and ‘b’

If a – b = 3 and a2 – b2 = 25, then find the sum of both the variables ‘a’
and ‘b’

Here is my answers options. Which one is correct?
a. 8.6
b. 3.5
c. 2.4
d. 8.33
e. 3.88

Thanks.

Default Asked on October 13, 2017 in

If a – b = 3 and a2 – b2 = 25, then find the sum of both the variables ‘a’ and ‘b’

Let’s we see how?

I’m trying to solve your problem and explain in details.  now let’s see –

We know the standard algebraic formula for (a)2 – (b)2
(a)2 – (b)2 = (a + b) (a – b)
Now, according to the data given in the question, a – b = 3 and a2 – b2 = 25.
Substituting these values in above equation, we get,
25 = (a + b) (3)
∴ (a + b) = 25/3
∴ a + b = 8.3333
Hence, the correct answer is option d.

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Thanks.

Brong Answered on October 17, 2017.