1.5 #5 - Please help me solve this!!

User Generated

EurggO

Mathematics

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?

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Explanation & Answer

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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


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