3.
The sumof the ages of Roy, Boyet and Bong is 12. Boyet is 3 years younger than Roy and Roy is 6
years older than Bong. How old is Boyet?
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3.
The sumof the ages of Roy, Boyet and Bong is 12. Boyet is 3 years younger than Roy and Roy is 6
years older than Bong. How old is Boyet?
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Verified answer
In the given problem, apply your knowledge in algebra and basic mathematics specially in solving linear equation.
The problem is an application of linear equation having three unknown variables.
Let
x is age of Roy
y is age of Boyet
z is age of Bong
Solution
Create three equation to solve three unknown variables.
First Equation
The sum of The sumof the ages of Roy, Boyet and Bong is 12.
x + y + z = 12
Second Equation
Boyet is 3 years younger than Roy.
y = x - 3
Third Equation
Roy is 6 years older than Bong.
x = z + 6
Solution
x + y + z = 12
y = x - 3
x = z + 6
y = x - 3 → y = (z + 6) - 3
x + y + z = 12 → (z+6) + [(z+6)-3] + z = 12
Simplify
(z+6) + [(z+6)-3] + z = 12
z + 6 + z + 3 + z = 12
3z + 9 = 12
Solve for z
3z + 9 = 12
3z = 12-9
3z = 3
z = 1
z = 1
x = z+6
x = 1+6
x = 7
y = x-3
y = 7-3
y = 4
Check:
x+y+z= 12
7+4+1 = 12 ✓
Answer:
4 years old
Learn more about solving linear equation here at brainly.ph/question/10870214
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