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## Bob’s age is 15 years less than half his father’s age. In six years his father’s age will be eleven years more than triple Bob’s age. What i

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## Answers ( )

Answer: the father is 44 years old now

Step-by-step explanation:

Let Bob’s present age be represented by x

Let his father’s present age be represented by y

Bob’s age is 15 years less than half his father’s age. This means that

x = y/2 – 15

x + 15 = y/2

y = 2x + 30

y – 2x = 30 – – – – – – – – – -1

In six years his father’s age will be eleven years more than triple Bob’s age. This means that

y + 6 = 3(x + 6) + 11

y + 6 = 3x + 18 + 11

y – 3x = 18 + 11 – 6

y – 3x = 18 + 11 – 6

y – 3x = 23 – – – – – – – – -2

Subtracting equation 2 from equation 1, it becomes

x = 7

y = 2x + 30

y = 2×7 + 30

y = 14 + 30

y = 44