Algebra Puzzle – Challenge 42
Algebra Puzzle - Challenge 42 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
Enjoy solving mathematical and critical thinking challenges? This is a great math puzzle for those who love math challenges!
Challenge:
Mr. Ronald is 53 years old. He has three children, John 14 years old, Nicole 9 years old, and Mark 4 years old. In how many years, the age of Mr. Ronald will become equal to the sum of his children’s age?
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The correct answer is 13.
Mr. Ronald is 53 years old and the sum of his children is:
14 + 9 + 4 = 27
The difference of Mr. Ronald’s age and his children is:
53 to 27 = 26
Every year, one year adds to Mr. Ronald’s age and three years adds to the sum of his children’s age. The difference of this is 2 years. So, each year 2 years is subtracted from the difference of Mr. Ronal’s age and his children.
Therefore, in 13 years the difference of Mr. Ronald’s age and his children becomes zero.
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