SOLUTION: John is five times as old as nick. In 15 years time,john will be three times as old as nick. How old is john?
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Question 1170627: John is five times as old as nick. In 15 years time,john will be three times as old as nick. How old is john?
Found 3 solutions by akumpo, MathLover1, ikleyn:
Answer by akumpo(8) (Show Source): You can put this solution on YOUR website!
Right now, John is 5 times older than Nick. Let n represent Nick's age and J for John's age.
The equation would be 5n=j
In 15 years, John will be 3 times older than Nick. This would then be: j+15=3(n+15)
Using distributive property: j+15=3n+45
Subtract both sides by 15 to get j=3n+30
j also equals 5n, therefore 3n+30=5n
Subtract both sides by 3n to get 2n=30
Divide both sides by 2 to get n=15
Right now, Nick is 15 years old, multiply by 5 to get John's age, which is 75.
CHECK:
If Nick is 15 right now, John is 75.
In 15 years, Nick will be 30 and John will be 90.
30*3 is 90, so our answer is correct.
John is 75 years old.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let John's age be and Nick's age
if John is five times as old as Nick, we have
.......eq.1
if in years time, John will be three times as old as Nick, we have
.......eq.2...substitute from eq.1
....solve for
John is years old
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
The correct answer is "John is 75 years old" (as obtained by @akumpo).
Do not accept any different answer.
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