Knowee
Questions
Features
Study Tools

Seven years ago, thrice George’s age was equal to five more than twice         Percy’s age. If Percy is three years older than George, how old will Percy          be next year?1 pointA. 18B. 19C. 21D. 22

Question

Seven years ago, thrice George’s age was equal to five more than twice         Percy’s age. If Percy is three years older than George, how old will Percy          be next year?1 pointA. 18B. 19C. 21D. 22

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's denote George's age seven years ago as G and Percy's age seven years ago as P.

From the problem, we know two things:

  1. 3G = 2P + 5 (Seven years ago, thrice George’s age was equal to five more than twice Percy’s age)

  2. P = G + 3 (Percy is three years older than George)

We can substitute the second equation into the first to get:

3G = 2(G + 3) + 5 3G = 2G + 6 + 5 3G = 2G + 11 G = 11

Substituting G = 11 into the second equation gives:

P = 11 + 3 P = 14

So, Percy was 14 years old seven years ago. Therefore, next year Percy will be 14 + 7 (years ago) + 1 (next year) = 22 years old.

So, the answer is D. 22.

This problem has been solved

Similar Questions

Emma's uncle is 3434 years older than she is. In 77 years' time, her uncle will be triple Emma's age. How old is Emma's uncle now?

Rohan was 4 times as old as his son 6 years ago.After 6 years Rohan will be twice as old as his son.What is son's present age?10 years12 years14 years18 years

Michael is 6 times as old as his granddaughter Lauraa. If Laura’s present age is x years, write down in terms of x the age of Michael in 15 years time.b. In 15 years time, Michael will be 3 times as old as Laura. Write an equation in x and hence findtheir present ages.

Ralph’s age is currently 3 years more than twice Joe’s age. But, 3 years ago Ralph was four times as old as Joe was then. How old will Joe be in 10 years?

Two years ago Cathy was three times as old as her cousin Claire. Two years before that, Cathy was four times as old as Claire. In how many years will the ratio of their ages be 2:1?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.