MathDB

7

Part of 2019 MIG

Problems(2)

2019 Individual #7

Source:

5/1/2022
In one peculiar family, the mother and the three children have exactly the same birthday. Currently, the mother is 3737 years old while each of children are 99 years old. How old will the mother be when the sum of the ages of the three children equals her age?
<spanclass=′latex−bold′>(A)</span>14<spanclass=′latex−bold′>(B)</span>27<spanclass=′latex−bold′>(C)</span>42<spanclass=′latex−bold′>(D)</span>57<spanclass=′latex−bold′>(E)</span>66<span class='latex-bold'>(A) </span>14\qquad<span class='latex-bold'>(B) </span>27\qquad<span class='latex-bold'>(C) </span>42\qquad<span class='latex-bold'>(D) </span>57\qquad<span class='latex-bold'>(E) </span>66
2019 Individual
2019 Team #7

Source:

5/1/2022
How many positive integers less than or equal to 150150 have exactly three distinct prime factors?
2019 Team