SOLUTION: Dupe's present age is 12 years older than seun's present age. Ten years ago, Dupe was three times seun's age. Find the present age of dupe and seun I tried solving by saying (y+

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Dupe's present age is 12 years older than seun's present age. Ten years ago, Dupe was three times seun's age. Find the present age of dupe and seun I tried solving by saying (y+      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1197545: Dupe's present age is 12 years older than seun's present age. Ten years ago, Dupe was three times seun's age. Find the present age of dupe and seun
I tried solving by saying (y+10)+(3y+10) = x + 12+x
I dont know whether it's correct, I would really appreciate if you help me solve it so i can study your solution because i have test tomorrow. THANK YOU SO MUCH
Found 3 solutions by MathLover1, ikleyn, math_tutor2020:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Dupe's present age be x and Seun's present age y
if Dupe's present age is 12 years older than seun's present age, we have
x=y%2B12......eq.1
if ten years ago, Dupe was three times seun's age, we have

x-10=3%28y-10%29.......eq.2, substitute x from eq.1
y%2B12-10=3%28y-10%29
y%2B2=3y-30
30%2B2=3y-y
32=2y
y=16
go to
x=y%2B12......eq.1, substitute y
x=16%2B12
x=28

so, the present age of Dupe is 28 and Seun is 16

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

I think you need to see several other solved age problem, to feel yourself more confident.

Read and learn from these introductory lessons at this site
    - Age problems and their solutions
    - HOW TO algebraize and to solve age problems?
    - A fresh formulation of a traditional age problem
    - Really intricate age word problems

Read them attentively and become an expert in this field.

It works better than any tutor, private or online.



Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = Seun's present age
x+12 = Dupe's present age

Rewind the clock 10 years into the past
x-10 = Seun's age ten years ago
(x+12)-10 = x+2 = Dupe's age ten years ago

We're told that at this point in time "Dupe was three times Seun's age".

So,
Dupe's past age ten years ago = 3*(Seun's past age ten years ago)
x+2 = 3*(x-10)
x+2 = 3x-30
x-3x = -30-2
-2x = -32
x = -32/(-2)
x = 16
Seun's present age is 16 years.

x+12 = 16+12 = 28 is Dupe's present age

Check:
Rewind the clock 10 years to find that Seun was 16-10 = 6 years old and Dupe was 28-10 = 18 years old.
Then notice the jump from 6 to 18 is "times 3", ie 6*3 = 18, to help confirm we have the correct ages.

----------------------------------------
Answers:
Seun's present age = 16 years old
Dupe's present age = 28 years old