SOLUTION: If ben is 5 years older than Tim four years ago, the ratio of the ages 7:6 find their present age

Question 1204515: If ben is 5 years older than Tim four years ago, the ratio of the ages 7:6 find their present age
Found 4 solutions by Alan3354, mananth, josgarithmetic, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If ben is 5 years older than Tim four years ago, the ratio of the ages 7:6 find their present age
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7x - 6x = 5
x = 5
---> 35 and 30 4 years ago
etc
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
If ben is 5 years older than Tim four years ago, the ratio of the ages 7:6 find their present age
Let 4 years ago, Tim's age be x years
Ben's age 4 years ago. would have been x+5 years
(x+5)/x = 7/6
cross multiply
7x = 6(x+5)
7x=6x+30
7x-6x = 30
x=30
x+5=35
Add 4 to the values
Tim is currently 34 years old, and Ben is 39 years old.

Answer by josgarithmetic(39628)   (Show Source): You can put this solution on YOUR website!
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If ben is 5 years older than Tim four years ago,
-------------
Notice that said Ben IS,...

b, Ben's age today
t, Tim's age TODAY

-

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the ratio of the ages 7:6
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What ratio? Only meaning must be ratio of Ben's age TODAY to the age of Tim four years ago. Reading this exactly,

---------Tim, today
--------Ben, today
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

If ben is 5 years older than Tim four years ago, the ratio of the ages 7:6 find their present age Let Tim's age be T Then Ben's is T + 5 Four years ago, Ben was and always will be 5 years older that Tim Four years ago, Tim and Ben were T - 4, and T + 5 - 4, or T + 1, respectively We then get: 7(T - 4) = 6(T + 1) ----- Cross-multiplying 7T - 28 = 6T + 6 7T - 6T = 6 + 28 Tim's age, or T = 34 Add 5 to Tim's age to get Ben's.

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