Asked by Unknown
Half of Marimar's age added to one third of sergios age is 11 years.six years from now the sum of their ages will be 40 years. How old is each now?
Answers
Answered by
JL
i guess the answers are:
marimar: 10
sergio: 18
marimar: 10
sergio: 18
Answered by
Reiny
We don't "guess" in mathematics.
just translate the English to Math:
(1/2)m + (1/3)s = 11
times 6, the LCD
3m + 2s = 66 **
6 years from now:
(m+6) + (s+6) = 40
m + s = 28 ***
2 times *** ---> 2m + 2s = 56
subtract from **
m = 10
back in ***
10 + s = 28
s = 18
Marimar is now 10 and Sergio is now 18
check:
(1/2)(10) + (1/3)(18)
= 5+6 = 11 , check!
in 6 years:
16 + 24 = 40 , check!
just translate the English to Math:
(1/2)m + (1/3)s = 11
times 6, the LCD
3m + 2s = 66 **
6 years from now:
(m+6) + (s+6) = 40
m + s = 28 ***
2 times *** ---> 2m + 2s = 56
subtract from **
m = 10
back in ***
10 + s = 28
s = 18
Marimar is now 10 and Sergio is now 18
check:
(1/2)(10) + (1/3)(18)
= 5+6 = 11 , check!
in 6 years:
16 + 24 = 40 , check!
Answered by
JL
oh sorry...hypothesis rather,,,an educated guess...:D
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