Question

If
m
−
n
=
16
and
m
2
+
n
2
=
400
, then find
m
n
.

72
78
84
88
these are options​

Answer 1

Answer:

72

Step-by-step explanation:

m - n = 16

m^2 + n^2 = 400

=> (m - n)^2 = m^2 + n^2 - 2.mn

=> (16)^2 = 400 - 2mn

=> 400 - 2mn = 256

=> 2mn = 400 - 256 = 144

=> mn = 144/2 = 72