Question

Find the values of p and q if their sum is 10 and the difference between the squares of p and q is 20

Answer 1

Answer:

p=6 & q=4

Step-by-step explanation:

Given that,

p+q=10

p²-q²=20

Now ,

(10-q)²-q²=20.............[p=10-q]

100-20q+q²-q²=20

20q=80

q=4

therefore p=10-4=6

Hence p=6 & q=4

Hope u understand !!

Answer 2

The values of p and q are 6 and 4 respectively.

Explanation:

p = 6

q = 4

p² = 36

q² = 16

p + q

6 + 4 = 10. .................... (sum of the values of p and q)

p² - q²

36 - 16 = 20. .................... (difference between the squares of p and q)

Hence, the values of p nd q are 6 and 4 as the sum is 10 and the difference between the squares of p and q is 20.