SOLUTION: may is 6 years younger than faye . Four years from now the product of thier ages is 352 find thier present ages

Question 501771: may is 6 years younger than faye . Four years from now the product of thier ages is 352 find thier present ages
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
Present age of May = m
Present age of Faye = f
May is 6 years younger than Faye means if we subtract 6 from the Faye's age both Faye and May will be of equal age
m=f-6.......................(1)
Four years from now means we have to add 4 in present age of May and Faye
f+4=m+4
then the product of thier ages is 352
(f+4)(m+4)=352
fm+4f+4m+16=352
fm+4f+4m=352-16
fm+4f+4m=336 .................(2)
Put the value of m from (1) to (2)
f(f-6)+4f+4(f-6)=336
f^2-6f+4f+4f-24=336
f^2-6f+8f=336+24
f^2+2f=360
f^2+2f-360=0
Now solve for f
f^2-18f+20f-360=0
f(f-18)+20(f-18)=0
(f-18)(f+20)=0
f-18= o or f+20=0
f=18 or f=-20(Impossible)
so
f=18
Put the value of f in (1)
m=f-6
m=18-6
m=12
May is 12 and Faye is 18 years old

RELATED QUESTIONS
Amother is 4 times older then her son 5 years ago the product of thier ages was 175... (answered by Alan3354)

please help me solve this question:present ages of anu and raj are in the ratio 4:5 eight (answered by stanbon)

one brother is 5 years older than the other. the sum of thier ages is 27. what are thier... (answered by algebrahouse.com)

Sue is five years youger than Candice.The product of thier ages two years from now will... (answered by Theo)

Pauline is 2 years younger than Shirley. Four years from now the sum of their ages will... (answered by Cintchr)

Maria is 3 years younger than Raquel. The sum of thier ages is 31. How old is each... (answered by narayaba)

pamela is 8 years younger than Jiri. the sum of thier ages is 54. What is Jiri age (answered by Alan3354)

Alvin is 13 years younger than elga. the sum of thier ages is 27 what is elga's... (answered by MathLover1)

annilee's present age is two -thirds of jessie present age. in 8 years of the sum of... (answered by mananth)