if a*b*c= 60, where a,b and c are integers greater than 1, a+b+c=?
1)a+b=8
2)Both a and b are odd numbers.
Please help..
1)a+b=8
2)Both a and b are odd numbers.
Please help..
Prime factorization comes in handy for this one.AJWILL wrote:if a*b*c= 60, where a,b and c are integers greater than 1, a+b+c=?
1)a+b=8
2)Both a and b are odd numbers.
Please help..
60 = 2x2x3x5
Since a, b and c are integers greater than 1, there are only 3 cases that are possible.
case 1: the numbers are 2, 3, and 10 (sum = 15)
case 2: the numbers are 3, 4, and 5 (sum = 12)
case 3: the numbers are 2, 5, and 6 (sum = 13)
Statement 1: a+b=8
This could mean we have case 2 (a=3 and b=5) in which case a+b+c = 12.
Or it could mean we have case 3 (a=2 and b=6) in which case a+b+c = 13.
Since we can't answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Both a and b are odd numbers.
Only case 2 features two odd numbers, so a+b+c must equal 12
So, statement 2 IS SUFFICIENT
The answer is B
Cheers,
Brent
