# Find the difference between ‘m and ‘n’, if it is given that, (m)2 – (n)2 =81 and the sum of these two variables is equal to 50.

Find the difference between ‘m and ‘n’, if it is given that, (m)2 – (n)2 =81 and the sum of these two variables is equal to 50.

Which one is correct answer?

a. 1.5

b. 2.5

c. 1.62

d. 1.75

e. None of the above

Your question is –

Find the difference between ‘m and ‘n’, if it is given that, (m)2 – (n)2 =81 and the sum of these two variables is equal to 50.

It is a easy questions, If you see my explanation, I think, this questions answer will be clear to you.

Your Correct answer: c

**Explanation:**

According to the question,

(m)2 – (n)2 = 81….(i)

Sum of these two variables = sum of ‘m’ and ‘n’ = 50…..(ii)

We have to find the difference between ‘m’ and ‘n’ i.e. (m-n)

According to the standard mathematical formula,

(m)2 – (n)2 = (m + n) (m – n)

On substituting the values from equations (i) and (ii) in this formula we get,

81 = 50 (m – n)

∴ (m – n) = 81/50 = 1.62

Hence, the correct answer is option c.