Description
A girl is currently 5 years older than her younger brother and 3 years younger than her older brother. Two years from the current time, the product of the ages of the brothers will be 12 times the age of the girl. What is the current age of the older brother?
Explanation & Answer
Thank you for the opportunity to help you with your question! IF you have any clarification, please don't hesitate to ask and I will do my best to answer. ++++++++++++
Let YB = younger brother’s age
Let OB = older brother’s age
Let YB + 5 = OB – 3 = girl’s age
Equation 1
YB + 2 + (OB + 2) = 12*(YB + 5 + 2)
YB+2+OB+2 = 12(YB+7)
12YB+84 = YB+OB+4
12YB-YB-4+84=OB
OB=11YB+80
Equation 2
YB + 5 = OB – 3
Substitute OB
YB+5=(11YB+80)-3
YB+5=11YB+77
11YB=YB+5
11YB-YB=5
10YB=5
YB = 5/10 or 0.5 year or 6 months
Please let me know if you need any clarification. I'm always happy to answer your questions.
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!