Answer:
12
Step-by-step explanation:
Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.
Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.
The equations:
(Ama is a)
(Ama's sister is s)
a = (2/3)s
a - 4 = (1/2)(s - 4)
Step one:
You would substitute the first equation into the second equation to get
(2/3)s - 4 = (1/2)(s - 4)
Step two:
Multiply by 6 to get rid of the fractions to get
4s - 24 = 3(s - 4)
Step three:
Simplify to get
4s - 24 = 3s - 12
Step four:
Subtract 3s and add 24 to get
s = 12
Step five:
Input the s value into the first equation to get
a = (2/3)(12) = 8
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