SOLUTION: xul is two years older than his sister Maria. the sum of their ages is greater than 32. describe maria's age.

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Question 157557: xul is two years older than his sister Maria. the sum of their ages is greater than 32. describe maria's age.
Found 2 solutions by ptaylor, jojo14344:
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=Maria's age
Then x+2=Xul's age
Now we are told that:
x+x+2>32 or
2x+2>32 subtract 2 from each side
2x+2-2>32-2 collect like terms
2x>30 divide each side by 2
x>15-----------------------------------------------Maria's age
So, Maria's age has to be greater than 15
Hope this helps----ptaylor

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = Maria' age
x%2B2 = Xul's age
condition: x%2Bx%2B2%3E32, sum is over 32 years
continuing,
2x%3E32-2 ---> 2x%3E30
cross%282%29x%2Fcross%282%29%3Ecross%2830%2915%2Fcross%282%29
x%3E15,
Conclusion: Maria's age should be greater than 15 years for their sum will be greater than 32 years.
Check: if x=15years Maria's age
going back to the condition:
15%2B15%2B2%3E32
32=32 --------> not greater than 32.
if x=16years Maria's age
16%2B16%2B2%3E32
34%3E32 --------> CORRECT!
Maria's age should be 16 years or more to satisfy the condition.
Thank you,
Jojo