Sue is 7 years older than bob. Together their ages sum to 51. How old is each

Answer 1

S-B=7

S+B=51

Add 2S=58 S=29

Subtract 2B=44 B=22

Answer 2

Let's let S = Sue's age & B = Bob's age

"Sue is 7 years older than Bob." would mean that S = B + 7.....(1) (since Sue is the older of the two)

"Together their ages sum to 51." translates to S + B = 51..........(2)

Using equation (1) and substituting it into equation (2) we get:

S + B = 51

(B + 7) + B = 51

2B + 7 = 51

2B = 44

B = 22

Which means that Bob is 22 years old and Sue (who is 7 years older) would be 29 years old.

Hope this helps

Mr. K