Question 1123859
let s = Sam's present age
let p = Pam's
:
Write an equation for each statement, simplify
:
Two years ago Sam was two thirds of Pam's age
s - 2 = {{{2/3}}}(p-2)
multiply both sides by 3
3(s-2) = 2(p-2)
distribute
3s - 6 = 2p - 4
3s - 2p = -4 + 6
3s - 2p = 2
:
in three years Sam will be three fourths of Pam's age
s + 3 = {{{3/4}}}(p+3)
multiply both sides by 4
4(s+3) = 3(p+3)
4s + 12 = 3p + 9
4s - 3p = 9 - 12
4s - 3p = -3
Use elimination with these two equations. Multiply the 1st equation by 3 and the 2nd equation by 2
9s - 6p = 6
8s - 6p = -6
----------------subtraction eliminates p, find s
s + 0 = 12
s = 12 yrs is Sam's present age
Find p
3(12) - 2p = 2
-2p = 2 - 36
-2p = -34
p = -34/-2
p = 17 yrs is Pam's present age
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Not sure what this means!!
 "20years the sum of their age is 69 has old is sam "