Question

If a+b+c = 10, a+b=7, a−b = 5, what is the value of c?

Answer 1

The value of c is 2

Explanation:

a+b+c=10 a+b=7 a-b=5

a + b = 7 a - b = 5 a + b = 7 a - b = 5

-b -b +b +b -a -a -a -a

a = 7 - b a = 5 + b b = 7 - a - b = 5 - a

7 - b = 5 + b 7 - a = -5 + a

+b +b +a +a

7 = 5 + 2b 7 = -5 + 2a

-5 -5 +5 +5

2 = 2b 14 = 2a

1 = b 7 = a

7 + 1 + c = 10

8 + c = 10

-8 -8

c = 2

Answer 2

based on the first 2 examples it gave, c should be equal to 3. the last one does not seem to be needed for the answer, and is probably just there to make it harder sort of.

Explanation: