Question 1158062
let j = Joe's present age
let d = daughter's
:
Write an equation for each statement
:
Six years ago, Joe Foster was two years more than five times as old as his daughter.
j - 6 = 5(d-6) + 2
j - 6 = 5d - 30 + 2
j = 5d - 28 + 6
j = 5d - 22
 Six years from now, he will be 11 years more than twice as old as she will be.
j + 6 = 2(d+6) + 11
j + 6 = 2d + 12 + 11
j = 2d + 23 - 6
j = 2d + 17
Replace j with (5d-22) from the 1st statement
5d - 22 = 2d + 17
5d - 2d = 17 + 22
3d = 39
d = 39/3
d = 13 yrs is the daughter's age
Find j
j = 5(13) - 22
j = 65 - 22
j = 43 is Joe's age
:
:
See if this checks out in the statement
"Six years ago, Joe Foster was two years more than five times as old as his daughter."
43 - 6 = 5(13 - 6) + 2
37 = 5(7) + 2