3) On Venus, in Venusian year 33, Eva and Greta meet in the gardens. Eva says to Greta: "I have only 153 children, but at the end of this year, the sum of their ages will be more than 100 years of the sum of the ages of your children, who are 180!" During which Venusian year will the sum of the ages of Greta's children exceed that of Eva's children?
(A) 37, (B) 38
(C) 39
(D) 40,
(E) 41.
3. The answer is $(\mathbf{A})$.

Every Venusian year, the sum of the ages of Eva's children increases by 153 years, while that of Greta's children increases by 180 years; therefore, every Venusian year, the difference between the two sums decreases by $180-153=27$ years. To make up for and exceed the difference of 100 years in year 33, it takes four years. We conclude that the Venusian year in which the sum of the ages of Greta's children will exceed that of Eva's children is 37.

[Problem proposed by A. Colesanti.]