Question

I NEED SOME HELP BECAUSE THIS PROBLEM IS TEARING MY ORGANS APART!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Two times Antonio’s age plus three times Sarah’s age equals 34. Sarah’s age is also five times Antonio’s age. How old is Sarah?

Answer 1

Let antonio's age = a and let sarah's age = s

2a + 3s = 34 (given in question)
s = 5a (given in question)

Because we know that s = 5a, we can replace it with 5a in the first equation to give this:

2a + 3(5a) = 34
∴ 2a + 15a = 34
∴ 17a = 34
∴ a = 2

Therefore we can see that Antonio is 2. Because we have been told that Sarah is 5 times Antonio's age, we can say that Sarah is 10.