Ben is 11 more than 3 times as old as Brad.
In fifteen years the sum of thier ages will be 101.
How old is Brad?
2007-03-15 16:23:34 · 4 answers · asked by hello 2 in Education & Reference ➔ Homework Help
All of them are wrong, only a small error on the last answer. In fifteen years they will both be 15 years older, so it will be
x+y+30=101
and the other equation is correct
3x+11=y
solving these as described by the others you get
Brad(x) is 15
Ben(y) is 56
check the answer
3(15)+11=56??
Yes
(15+15)+(56+15)=101??
Yes
2007-03-15 16:47:23 · answer #1 · answered by Anonymous · 1⤊ 0⤋
Let x be Ben's age, and y be Brad's age.
x+y+15=101
Deduct 15 from both sides
x+y=86
x=3y+11 (Ben is 11 more than 3 times Brad's age)
So you then put the 2 equations together:
x+y becomes ... 3y+11+y
3y+11+y = 86
(3y+y) = 4y
so ...
4y+11=86
Deduct 11 from both sides of the equation
4y=75
Divide both sides by 4
y=18.75
If Brad is 18.75, then Ben is 3times 18.75+11, or 67.25.
67.25 + 18.75 = 86. This is their ages now, and in 15 years time, the sum of their ages will be 101.
So ... Brad is 18.75, and Ben is 67.25.
2007-03-15 23:35:41 · answer #2 · answered by sharon b 2 · 0⤊ 1⤋
Ben = 11 + 3x, where x = Brad
Sum: brad + ben:
x + 11 + 3x = 101
4x = 100
x= 25
2007-03-15 23:32:06 · answer #3 · answered by jenh42002 7 · 0⤊ 0⤋
25
2007-03-15 23:28:58 · answer #4 · answered by Anonymous · 0⤊ 0⤋