Question

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​

Answer 1

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