Question 1113162
let j = Jake's present age
let t = Tom's
Write an equation for each statement
:
Twenty-two years ago Jake was twice older than Tom.
j-22 = 2(t-22)
j - 22 = 2t - 44
j = 2t - 44 + 22
j = 2t - 22
 Three times Tom's age now is 16 more than twice Jake's age now.
3t = 2j+16
replace j with (2t-22)
3t = 2(2t-22) + 16
3t = 4t - 44 + 16
3t = 4t - 28
28 = 4t - 3t
t = 28 yrs is Tom's age
then
j = 2(28)- 22
j = 56 - 22
j = 34 yrs is Jake's age
:
 How old were they 22 years ago?
t: 28 - 22 =  6 yrs was Tom
j: 34 - 22 = 12 yrs was Jake