Mr. Charleston is 4 times as old as his brother. In 16 years he will be only twice as old his brother will be. Find the Mr. Charleston age 10 years ago.
a. 8
b. 20
c. 22
d. 32
e. 56
2006-08-09 15:39:10 · 12 answers · asked by klv0808 1 in Science & Mathematics ➔ Mathematics
Let x = Mr Charleston's brother
4x = Mr Charleston
4x + 16 = 2(x + 16)
4x + 16 = 2x + 32
2x = 16
x = 8
Mr Charleston is currently 32 years old. Ten years ago he was 22. The answer is c.
2006-08-09 16:20:30 · answer #1 · answered by jimbob 6 · 0⤊ 0⤋
C = 4B
16 + C = 2(B+16)
Substitution 16 + 4B = 2(B + 16)
4B = 2B + 32 -16
2B = 16
B = 8 -> Brothers age
4B = 32 -> Mr. charleston Age
32 - 10 = 22 Mr. charleston Age 10 years ago.
C. 22 is the answer.
2006-08-09 23:16:42 · answer #2 · answered by juggler 2 · 0⤊ 0⤋
Answer is c
at this time the equation is x=4y
after 16 year the equation will be x+16=(y+16)*2
or x+16=(x/4+16)*2 or x+16=(x+64)/2
2x+32=x+64 or x=32
Before 10years the age of Mr Charleston was 22
2006-08-09 23:30:39 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Today:
Charleston's brother age = x
Charleston's age = 4x
After 16 years:
Charleston's brother age = x + 16
Charleston's age = 4x +16
Since Charleston age should be twice the age of Charleston's brother we have the equation:
(4x + 16) / (x + 16) = 2
computer for x and you get 8 (which represent's charleston's brother age).
Therefore charleston age now should be 8(4) = 32.
Therefore charleston age 10 years ago is 22.
Answer: 22 (c)
2006-08-09 23:21:16 · answer #4 · answered by Taki 2 · 0⤊ 0⤋
I think it's C too. Here's the reasoning:
22 + 10 = 32 years old
32 / 4 = 8 yrs old
(16 + 32) = 2(8 + 16)
so, 48 = 48.
The answer is C. Hope you found this helpful.
2006-08-09 22:56:35 · answer #5 · answered by CuteMonkey 2 · 0⤊ 0⤋
ok right now Mr C is 4b where b is his bros current age
in 16 yrs he'll be twice his brothers age so
4b+16 = 2(b +16)
so b = 8
so Mr C is 32 so 10 yrs ago he was 22
(c)
2006-08-09 22:48:21 · answer #6 · answered by Jake S 5 · 0⤊ 0⤋
his age was 22.
let Mr. C's present age be x, and his brother's age be y.
now, x=4y
After 16 years, Mr. C's age = x + 16,
and his brother's age= y+16
x+16 = 2(y+16)
x +16=2y +32
Substituting the value x=4y,
4y+16=2y+32
on solving, you will get y=8
But, x=4y
so, x=4X8=32
ten years ago, his age will be
present age-10
=32-10
=22
2006-08-10 00:16:44 · answer #7 · answered by Malfoy vs Potter 5 · 0⤊ 0⤋
impossible to answer because we don't know either the brothers age now or Mr. Charlestons age now.
2006-08-09 22:44:24 · answer #8 · answered by Sniper 4 · 0⤊ 0⤋
c.22
2006-08-10 05:10:03 · answer #9 · answered by the brillant once! 2 · 0⤊ 0⤋
How about you show us your work so far and then ask for help. Otherwise, I'm going to be as lazy as you are.
2006-08-09 22:53:43 · answer #10 · answered by gtoacp 5 · 0⤊ 0⤋