SOLUTION: [Demola is 2 years older than john, peter is half of demola's age, the sum of their ages is 23. How old is john?]

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Question 924144: [Demola is 2 years older than john, peter is half of demola's age, the sum of their ages is 23. How old is john?]
Found 2 solutions by TimothyLamb, MathTherapy:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = demo age now
y = john age now
z = pete age now
---
x = y + 2
z = (1/2)x
x + y + z = 23
---
put the system of linear equations into standard form
---
x - y = 2
0.5x - z = 0
x + y + z = 23
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = demo age now = 10
y = john age now = 8
z = pete age now = 5
---
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

[Demola is 2 years older than john, peter is half of demola's age, the sum of their ages is 23. How old is john?]

Let Demola's current age, be D
Then John's is: D - 2
Peter's is: %281%2F2%29D, or D%2F2
As their ages sum to 23, we get:
D+%2B+D+-+2+%2B+D%2F2+=+23
2D+-+2+%2B+D%2F2+=+23
2D+%2B+D%2F2+=+23+%2B+2
2D+%2B+D%2F2+=+25
4D + D = 50 ------- Multiplying by LCD, 2
5D = 50
D, or Demola's current age = 50%2F5, or highlight_green%2810%29
John's current age: 10 - 2, or highlight_green%288%29
Peter's current age: %281%2F2%2910, or highlight_green%285%29