Question

plzzz solve this que by shortest method...plzzzz it's urgent...

Answer 1

we write 56= 8p2
and 30= 6p2 ...
..see picture!

Answer 2

Your answer is --

Given,

(m+n)P2 = 56

=> (m+n) (m+n-1) = 56

Since 8 × (8-1) = 56 ,

So, (m+n) = 8 ......(eq-1)

also given,

(m-n)P2 = 30

=> (m-n) (m-n-1) = 30

since, 6 × (6-1) = 30,

So, m-n = 6 ....(eq-2)

Now, add equation 1 & 2 , we get

2m = 14

=> m = 14/2

=> m = 7

put this value in equation (1) , we get

7 + n = 8

=> n = 8 - 7

=> n = 1

Hence, m = 7 & n = 1


【 Hope it helps you 】