SOLUTION: Eva is 10 years older than Feni. In 8 years, twice Eva's age will equal to three times Feni's age. How old is each at present.

Question 627221: Eva is 10 years older than Feni. In 8 years, twice Eva's age will equal to three times Feni's age. How old is each at present.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Eva is 10 years older than Feni. In 8 years, twice Eva's age will equal to three times Feni's age. How old is each at present
Let
Present age of Eva = e years old
Present age of Feni = f years old

Eva is 10 years older than Feni.
e=f+10..............(1)
In 8 years,
Eva will be = e+8
Feni will be = f+8
Then
Twice Eva's age will equal to three times Feni's age
2(e+8)=3(f+8)
2e+16=3f+24
2e=3f+24-16
2e=3f+8..............(2)
Substitute the value of e from (1) to (2)
2e=3f+8
2(f+10)=3f+8
2f+20=3f+8
2f-3f=8-20
-f=-12
Multiply by -1 both sides
f=12
Put the value of f in (1)
e=f+10..............(1)
e=12+10
e=22

Present age of Eva = e = 22 years old
Present age of Feni = f = 12 years old

RELATED QUESTIONS
Eva is 10 years older than Dan. in 8 years, twice Eva's age will equal 3 times Dan's age. (answered by stanbon)

Eva is 10 years older than Femi. In 8 years, twice Eva's age will equal 3 times Femi's... (answered by sofiyac)

Joe is ten years older than James. In eight years, twice Joe�s age will equal three times (answered by josgarithmetic)

Bella is as much older than ella as ella is older than eva.six year ago bella's age was... (answered by Edwin McCravy)

Eva is 6 years older than his brother, Elvin. In 4 years, Eva will be 26 more than 1/2 of (answered by ankor@dixie-net.com)

Eva is 6 years older than his brother, Elvin. In 4 years, Eva will be 26 more than... (answered by drk,MathTherapy)

Eva is 6 years older than her brother. In 4 years, Eva will be 26 more than the half of... (answered by mananth)

Eva is 5 years younger than 3 times billys age. if eva is 28, how old is... (answered by Boreal)

Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times... (answered by Maths68)