Question 1029010
let a = my age
let m = Mom's age
let f = Dad's age
:
write an equation for each statement
:
 The sum of my mother’s and my father’s ages is 70 and
m + f = 70
:
 my father is two years older than my mother.
f = m + 2
:
 With my age added, our total is 80.
a + m + f = 80
replace m+f with 70
a + 70 = 80
a = 10 yrs is your age
:
In the first equation, m + f = 70,replace f with m+2
m + 2 + m = 70
2m = 70 - 2
2m = 68
m = 68/2
m = 34 is Mom's age
then obviously
f = 34 + 2
f = 36 is Dad's age
:
How old will we all be when our total age is 101?
let y = no. of years for this to be true
(a+y) + (m+y) + (f+y) = 101
a + m + f + 3y = 101
Replace a+m+f with 80
80 + 3y = 101
3y = 101 - 80
3y = 21
 y = 21/3
 y = 7 yrs
Add 7 the each of their ages and you have it, then check the total to see if it adds up to 101