If m - n = 5 and 2m + 3n = 15, them m + n = _____?
- 7
- 20
- 6
- None of these
Explanation
Given equations:
m - n = 5 ... (1)
2m + 3n = 15 ... (2)
From (1), m = n + 5
Substitute m in (2):
2(n + 5) + 3n = 15
2n + 10 + 3n = 15
5n + 10 = 15
5n = 5
n = 1
Now, find m:
m = n + 5
m = 1 + 5
m = 6
m + n = 6 + 1 = 7
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