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4. Dan is 5 years older than Peter and Peter is 3 years order thanJohn.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» 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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