Question

father's age is thrice the sum of the ages of his two children after 5 years his age will be twice the sum of their ages how old is father

Answer 1

$\textbf {Hey there, here is the solution.}$

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STEP 1: Define their current age:

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

Father = 3x

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STEP 1: Define their age 5 years later:

Each child will increase by 5 years, so sum of the 2 children will increased by 10

Sum of the children's age = x + 10

Sum of the age of the father = 3x + 5

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STEP 3: Find x:

5 years ago, the father is twice the sum of the children's age

3x + 5 = 2(x + 10)

3x + 5 = 2x + 20

3x - 2x = 20 - 5

x = 15

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STEP 4: Find the father's age:

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

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Answer: The father is 45 years old

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⭐$\textbf {Cheers}$⭐