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):
Answer by ikleyn(52788)  (Show Source):
|
|
|
