Question

Every year Victoria receives $30 for her birthday +2 for each of her age Lizzy receives $20 for her birthday and four dollars for each of her age and 2013 Victoria is 10 Alecia six and what year were they both receive the same amount of money

Answer 1

Answer:

$In\ the\ year\ 2016$

Step-by-step explanation:

Let  $x\ years$ after 2013 they both receive same amount of money.

Victoria's Money:

$Age\ of\ Victoria\ after\ x\ years=age\ in\ 2013+x=10+x$

$The\ amount\ she\ will\ get\ because\ of\ his\ age=2\times age=2(10+x)\\\\Every\ year\ birthday\ amount=\ 30\\\\Total\ amount=2(10+x)+30=2x+50$

Alecia's Money:

$Age\ of\ Alecia\ after\ x\ years=age\ in\ 2013+x=6+x\\The\ amount\ she\ will\ get\ because\ of\ his\ age=4\times age=4(6+x)\\\\ Every\ year\ birthday\ amount=\ 20\\\\ Total\ amount=4(6+x)+20=4x+44$

The Money that Victoria and Alecia have are equal

$2x+50=4x+44\\\\4x-2x=50-44\\\\2x=6\\\\x=3$

3 Years after 2013 they both have same money

$Year=2013+3=2016$