Question 427513
write an equation for each statement:
"Beth is two years older than Julio."
B = J+2
:
" Gerald is twice as old as Beth."
G = 2B
:
" Debra is twice as old as Gerald."
D = 2G
:
" The sum of their ages is 38."
B + J + G + D = 38
:
Looking at these equation, it's apparent we can get all in terms of B
B = J + 2
J = B-2
:
G = 2B
:
D = 2G
Replace G with 2B
D = 2(2B)
D = 4b
:
So we have:
B + (B-2) + 2B + 4B = 38
8B = 38 + 2
8B = 40
B = 5 yrs is Beth's
:
I'll let you find the other ages