Question

Let m and n be two positive integers such that m + n + mn = 118, then the value of m + n is
1 point
A. not uniquely determined
B. 18
C. 20
D. 22

Answer 1

D. 22 is the correct answer not sure

Answer 2

Answer:

D. 22 is the correct answer

We have,

a and b are two odd positive integers such that a & b

but we know that odd numbers are in the form of 2n+1 and 2n+3 where n is integer.

so, a=2n+3, b=2n+1, n∈1

Given ⇒ a>b

now, According to given question

Case I: 

2a+b=22n+3+2n+1

=24n+4

=2n+2=2(n+1)

put let m=2n+1 then,

2a+b=2m ⇒ even number.

Case II:

2a−b=22n+3−2n−1

22=1 ⇒ odd number.

Hence we can see that, one is odd and other is even.

This is required solutions.