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+
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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) (Show Source): You can put this solution on YOUR website!
let Dupe's present age be and Seun's present age
if Dupe's present age is years older than seun's present age, we have
......eq.1
if ten years ago, Dupe was three times seun's age, we have
.......eq.2, substitute from eq.1
go to
......eq.1, substitute
so, the present age of Dupe is and Seun is
Answer by ikleyn(52798) (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) (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.
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Answers:
Seun's present age = 16 years old
Dupe's present age = 28 years old
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