A grandpa called all his grandsons and decided to give them a total of $100 to spend in their vacations. He decided that the elder ones must receive more. So he planned to give a sum to the youngest one and then increase $2 with every elder one.
Can you calculate how much he gave to the youngest one if he gave all and only $100 to them in total?  Select
A) $17  B) $15  C) $21  D) $16  E) $22
$16   $16
<result>D</result>
A grandpa called all his grandsons and decided to give them a total of $100 to spend in their vacations. He decided that the elder ones must receive more. So he planned to give a sum to the youngest one and then increase $2 with every elder one.
Can you calculate how much he gave to the youngest one if he gave all and only $100 to them in total?