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Sarah is sixteen years old and four times as old as her brother How old will Sarah be when she is twice as old as her brother?
Wiki User
∙ 10y ago
She will be 24.
S=16 (Sarah is 16 years old)
S=4B (Sarah is 4 times as old as her brother)
S/4=B
16/4=B
B=4 (Sarah's brother is 4 years old)
How old will Sarah be when she is twice as old as her brother?
S+Y=2(B+Y); S= Sarah's age, B= Sarah's Brother's age, Y=years passed
16+Y=2(4+Y)
16+Y=8+2Y
16=8+2Y-Y
16=8+Y
16-8=Y
8=Y (Sarah will be twice as old as her brother after 8 years pass)
How old is Sarah after 8 years pass?
S+Y=Final Answer
16+8=24
Checking work:
B+Y=4+8=12
Is 12 half of 24? Yes.
Therefore Sarah will be twice her brothers age when she is 24 and her brother will be 12.
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The keys here are
Sarah's age S = 16
Sarah's brother's age B = 16/4 = 4
Years that pass = T
The equation is
Sarah's future age is twice her brother's future age
16+T = 2 (4+T)
16+T = 8 +2T
16 = 8+2T - T
16 = 8 + T
8 = T
Sarah's future age = 16 + T = 24
Wiki User
∙ 10y ago
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