# algebra

The present ages in years of four cousins are consecutive multiples of 3. Five years ago the sum of their ages was 46. What is their ages now?

1. if their ages are a,b,c,d, then

a+b+c+d = 3n + 3n+3 + 3n+6 + 3n+9 = 12n + 18
(a-5)+(b-5)+(c-5)+(d-5) = 46
a+b+c+d = 66

so, 12n+18 = 66
n=4

so, the ages are 12,15,18,21
5 years ago, they were 7,10,13,16 and added up to 46

posted by Steve

## Similar Questions

1. ### math

Richard is 6 years older than Lisa, and in 5 years the sum of their ages will be twice as much as the sum of their ages 4 years ago. Find their present ages.
2. ### math

Richard is 6 years older than Lisa, and in 5 years the sum of their ages will be twice as much as the sum of their ages 4 years ago. Find their present ages.
3. ### math

The sum of ages of Sam ang thomas is 27 years. Seven years ago, Toma's was three years more than one fourth as old as Sam. Find their present ages
4. ### math

five years ago, a mother was twice as old as her son. In 6 years time, the sum of their ages will be 82. Fiind their present age.
5. ### Math

Needing help with the formula to be able to prove these answers to be correct. What are the steps ? Moesha's is ( 3G + 1 ) years old and Shanti is twice Moesha's age. A ) Find the sum of the ages of Moesha's and Shanti in2 years
6. ### math

the sum of the ages of sam and tomas is 27 years. seven years ago, tomas was three years more than one-fourth as old as sam. find their present age
7. ### Algebra

Zandile is 4 years older than Thoko.Four years ago the product of their ages was 165.find their present ages
8. ### math

Five years ago, A was three times as old as B and ten years later, A shall be twice as old as B. What are the present ages of A and B (in years).
9. ### algebra

Seven years ago a women was four times old as her sons age at that time.In seven years years from now the mother will be twice as old as her son would be then.Find their present ages. Answer
10. ### Math

Joan is 5 years older than Ellen, and 3 years ago the sum of their ages was 17 years. In how many years will Joan be 21 years old?

More Similar Questions