4. Dan is 5 years older than Peter and Peter is 3 years order than
John.The sum of their ages is 47. If x represent the age of peter,
form an equation and solve for x hence find their ages
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Answer:
Dan's age = 20 years old
Peter's age = 15 years old
John's age = 12 years old
Step-by-step explanation:
Let Dan's age be y, Peter's age be x & John's age be z.
According to the given information,
1. y = x + 5
2. x = z + 3
3. x + y + z = 47
Substituting x = z + 3 in equation 1, we get,
y = (z + 3) + 5
4. y = z + 8
Substituting equations 2 & 4 in equation 3, we get,
x + y + z = 47
(z + 3) + (z + 8) + z = 47
3z + 11 = 47
3z = 47 - 11
3z = 36
z = 36/3
z = 12
Substituting z = 12 in equations 2 & 4, we get,
x = z + 3
x = 12 + 3
x = 15
y = z + 8
y = 12 + 8
y = 20
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