Please Help me solve this age problem...

Philippines
July 28, 2008 8:05am CST
Please help me solve this algebra question.. If Angelo is four times as old as Vicky. 5 years ago, Vicky was 30 years old younger than Angelo. Can u help me find their present age???
3 people like this
3 responses
@stvasile (7306)
• Romania
28 Jul 08
Yes, Vicky is 10 years old and Angelo is 40 years old. Here's my logic: I note Vicky's present age by X and Angelo's present age by Y. If Angelo is four times older than Vicky, that means Y = 4X. On the other hand, there is the situation from 5 years ago. Five years ago, Vicky's age was X-5 (the present age minus five years). Also, Angelo's age was Y-5. But we know that 5 years ago, Vicky was 30 years old younger than Angelo. That means that X-5 = (Y-5) - 30. We have the following two equations: Y = 4X X-5 = (Y-5)-30 If we replace Y by 4X in the second equation, we have X-5 = 4X-35. That means that 3X=30, so X=10. Vicky's present age is therefore 10 years. Since Y = 4X, it means that Y = 40. Angelo is therefore 40 years old at the present time. To verify: Angelo is 40, that means 4 times older than Vicky who is 10. 5 years ago, Vicky was 5 and Angelo 35. Vicky was indeed 30 years younger than Angelo.
• Philippines
28 Jul 08
thank you very much...
1 person likes this
@vipulchawla (2220)
• India
28 Jul 08
hi.. I think i have got the solution.. Let Vicky's age be x. Then Angelo's age = 4x. 5 years ago.. Vicky's age = x - 5 Angelo's age = 4x - 5 According to the condition : 4x - 5 = x - 5 + 30 which gives the value of x as 10. so, vicky's present age is 10 years And Angelo's present age is 40 years.. I hope, i get the correct..
• Philippines
28 Jul 08
tnx a lot
1 person likes this
@chenmeiyi (972)
• China
28 Jul 08
vicky is 15 and angelo is 45 now.am i right?