Question
Adam is 3 times as old as Cynthia and Fred is 16 years younger than adam. One year ago, Adam's age was twice the sum of Cythia and Freds age. Find the present ages.
I have
a=3c f=a-16 a-1=2(c-1 + f-1)
and I don't understand what comes next and why
I have
a=3c f=a-16 a-1=2(c-1 + f-1)
and I don't understand what comes next and why
Answers
Steve
a=3c
f=a-16
a-1=2(c-1 + f-1)
so far, so good. Now start substituting. First, get rid of a:
f = 3c-16
3c-1 = 2(f+c-2)
Now get rid of the f:
3c-1 = 2((3c-16)+c-2)
3c-1 = 2(4c-18)
3c-1 = 8c - 36
5c = 35
c = 7
so, f = 3c-16 = 5
and a = 3c = 21
f=a-16
a-1=2(c-1 + f-1)
so far, so good. Now start substituting. First, get rid of a:
f = 3c-16
3c-1 = 2(f+c-2)
Now get rid of the f:
3c-1 = 2((3c-16)+c-2)
3c-1 = 2(4c-18)
3c-1 = 8c - 36
5c = 35
c = 7
so, f = 3c-16 = 5
and a = 3c = 21