Multiple choice

A man is 37 years old, his two sons are 8 years and 3 years old respectively. After how many years will he be twice as old as the sons' total age?

  1. 4 years

  2. 3 years

  3. 5 years

  4. 6 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the number of years after which the father will be twice as old as the combined age of his sons. Father's age after x years = 37+x, sons' combined age = (8+x)+(3+x) = 11+2x. Setting 37+x = 2(11+2x), we get 37+x = 22+4x, solving gives 3x = 15, so x = 5 years.

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