SOLUTION: can you please answer this problem? Joey is 9 years older than Marivic. Six years ago, the product of their ages is 190. Find their present ages. I hope to hear you soon. thank y

Question 584725: can you please answer this problem? Joey is 9 years older than Marivic. Six years ago, the product of their ages is 190. Find their present ages.
I hope to hear you soon. thank you!
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
im using first letter of names as variables
(Joey is 9 years older than Marivic)
(Six years ago, the product of their ages is 190)

solve for M and M has to be positive because its an age
fastest way is to find two numbers that multiply to get -208 and add to get -3
what i do is take two of the same number and multiply them to see if its close to 208
i started with 15*15=225 the 14*14=196 this tells me that the two numbers are close and i know they are three away from each other
i try 14*17=238 then 13*16=208, got the right number but its positive so one the numbers has to be negative, since there was a -3 difference the larger number has to be negative, -16*13=-208 and -16+13=-3
now that sounds like a lot of work but I did all of that in 10 secs in my head and a calculator.
numbers from above put into problem and now set equal to 0 and solve, only the possitive answer is needed

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