# Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle. If the sum of their ages is 77, how old is Gina?

How do I solve this?

### 10 Answers

- MorningfoxLv 71 year agoFavourite answer
Equations, that's one way.

K = G + 17

G = R - 3, or R = G+3

K + G + R = 77

Plug in the expressions for K and R

(G +17) + G + (G+3) = 77

Same as 3G + 20 = 77, can you solve that?

- Anonymous1 year ago
Too old for me. I hear 77 I think purrruuuunnnnneeee!

- DavidLv 71 year ago
Their ages respectively are: (17+x-3) + (x-3) + (x) = 77

Solving the equation x = 22 and so the age of Gina is 19 years.

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- Anonymous1 year ago
Kamal is 17 years older than Gina.

K = G + 17

Gina is 3 years younger than Rachelle.

R = G + 3

If the sum of their ages is 77

K + G + R = 77

but K = G + 17 and R = G + 3.

Substitute

G + 17 + G + G + 3 = 77

3G + 20 = 77

3G = 57

G = 19

Gina is 19 years old.

- ComoLv 71 year ago
--

Let Rochelle be x years

Gina is x - 3 years

Kenwood is x + 14 years

3x + 11 = 77

3x = 66

x = 22

Gina 19 years

- DixonLv 71 year ago
Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle. If the sum of their ages is 77, how old is Gina?

K = 17 + G

G = R - 3

K + G + R = 77 . . . . . iii

Substituting in iii

(17 + G) + G + (G + 3) = 77

- Anonymous1 year ago
Gina + 3 = Rachelle

Gina + 17 = Kamal

Gina + 0 = Gina

===============

3 Gina + 20 = 77, so Gina = (77-20)/3 = 19

- Mr. SmartypantsLv 71 year ago
The real problem is that they are all women! If they were men, you could just ASK them how old they are!

Let's take Rachelle's age. Let's call it r.

Gina's age is r-3

Kamal is r - 3 + 17 or r + 14

So the total of all their ages is

r + r - 3 + r + 14 = 77

(The nice thing is this is all addition and subtraction so we don't need parentheses anywhere!)

So that's 3r - 3 + 14 = 77

So 3r + 11 = 77

So 3r = 66

r = 33 That's Rachelle's age, 33 years

Gina is 3 years younger than Rachelle, so she is 30.