Question 1023729: When you're 3/4 your age, I am 4x yours. When you are my age our total equals 140. Found 2 solutions by ikleyn, ankor@dixie-net.com:Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! When you're 3/4 your age, I am 4x yours. When you are my age our total equals 140.
:
a = your age
b = my age
let d = (b-a) the difference in our ages
:
When you're 3/4 your age, I am 4x yours
d = 4(a) - a
d = 3(a)
d = a
replace d with (b-a)
b - a = a
multiply by 4
4(b-a) = 9a
4b - 4a = 9a
4b = 9a + 4a
4b = 13a
b = a
b = 3.25a
:
"When you are my age our total equals 140. "
a + d + b + d = 140
replace d with (b-a)
a +(b-a) + b +(b-a) = 140
3b - a = 140
replace b with 3.25a
3(3.25a) - a = 140
9.75a - a = 140
8.75a = 140
a = 140/8.75
a = 16 yrs is your age
Find b
b = 3.25*16
b = 52 yrs is my age
:
:
lets see if that works out
"When you are my age our total equals 140. "
52 - 16 = 36 yrs, the difference in our ages
When your(a) age is 52, I(b) will be: 52 + 36 = 88. 88 + 52 = 140
