Question

Father age is three time the sum of the age of two children after 5 year his age will be twice tge sum of age of two children find the age of the father

Answer 1

STEP 1: Define x:

Let the sum of the two children's age be x

Father = 3x

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STEP 2: Define their age 5 years later:

5 years later,

Sum of the children's age = x + 10

*There are 2 of them, each increases by 5 years, so they will have increased by 10 together.

Father = 3x + 5

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STEP 3: Form the equation:

5 years later, Father's age will be twice the sum of the children's:

3x + 5 = 2( x + 10)

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STEP 4: Solve x:

3x + 5 = 2( x + 10)

3x + 5 = 2x + 20

x = 15

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STEP 5: Find their age:

Sum of the 2 children = x = 15 years old

Father = 3x = 3(15) = 45 years old

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Answer: The father is 35 years old