Question 147349
Write an equation for each statement

Kelly is two years younger than Kristen.
Ke = Kr - 2
:
If twice Kristen's age is increased by five times Kelly's age the sum is 53.
2Kr + 5Ke = 53
:
Find the ages of the two girls.
:
from the 1st equation; substitute(Kr-2) for Ke in the above equation:
2Kr + 5(Kr-2) = 53
:
2Kr + 5Kr - 10 = 53
:
Kr = 53 + 10
Kr = {{{63/7}}}
Kr = 9 yrs old
then
Ke = 9 - 2 = 7 yrs old
:
:
Check solution in the statement:
"twice Kristen's age is increased by five times Kelly's age the sum is 53."
2(9) + 5(7) = 
18 + 35 = 53