Sally is 3 years older than Jill was 5 years ago. Write an algebraic expression for both of their ages. If Jill is 10, how old i

Question

Zanzabum

3 years ago

11

Sally is 3 years older than Jill was 5 years ago. Write an algebraic expression for both of their ages. If Jill is 10, how old i

s Sally?

Mathematics

1 answer:

damaskus [11] · Answer 1 · 2022-06-06T04:19:38+03:00

Answer: 13 (and Sally will always be 3 years older than Jill)

Step-by-step explanation:

Let S and J stand for Sally and Jill's ages. We are told:

(S-5) = (J-5)+3 [Sally is 3 years older than Jill was <u>5 years ago</u>] The 5 years ago is the reason for the (S-5) and (J-5) expressions.

If Jill is 10, how old is Sally?

(S-5) = (J-5)+3

(S-5) = (10-5)+3

S-5 = 8

S = 13

We actually don't really need an equation for solving this, other than the question asks us to write one. It doesn't matter how many years later, since Sally is 3 years older, she will always remain 3 years older, if we ignore the likelihood that the statement doesn't hold true for the period between their actual birthdays.