The sum of the ages of 4 children born at intervals of 4 years each is 52 years. What is the age of the eldest one?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 19 years
Children born 4 years apart have ages that go up by 4 from the youngest to the eldest, so all four ages can be written with one unknown.
Let the youngest be \(x\) years old; the ages are \(x\), \(x+4\), \(x+8\) and \(x+12\)
Sum of the ages: \(4x+24=52\)
\(4x=28\), so \(x=7\)
Eldest \(=x+12=7+12=\) 19 years