SOLUTION: The product of two numbers is 128 and their quotient is 8. What are the numbers?

Question 243079: The product of two numbers is 128 and their quotient is 8. What are the numbers?

Found 2 solutions by sarrobbi, MathTherapy:
Answer by sarrobbi(2) (Show Source): You can put this solution on YOUR website!
The answer is 32, and 4.
A quotient is the answer to a division problem. In this case 32/4 = 8 where eight is the quotient.
32x4=128.
32 and 4 both work as dividends and multipliers.
Answer by MathTherapy(10549) (Show Source): You can put this solution on YOUR website!
The product of two numbers is 128 and their quotient is 8. What are the numbers?

Let the 1st number be F, and the 2nd S

Since their product is 128, we can say that FS = 128 -------- (i)

Also, since their quotient is 8, then we can say that ------ (ii)

Solving for F in eq (ii), we get: F = 8S

Substituting 8S for F in eq (i), we get: 8S(S) = 128

--------

-------- Factoring out GCF, 8

-------- (S - 4)(S + 4) = 0

Therefore, S, or the 2nd number is 4, or - 4

If the 2nd number is 4, then the 1st number is F(4) = 128, which makes F = 32

If the 2nd number is -4, then the 1st number is F(-4) = 128, which makes F = -32

Therefore, the numbers are either , or .
RELATED QUESTIONS
The product of two numbers is 72. Their quotient is 2. What are the two... (answered by Edwin McCravy)
the product of two positive numbers is 5/6 and their quotient is 15/8. calculate the... (answered by Aldorozos)
The product of two positive numbers is. 5/6 and their quotient is 15/8. Calculate... (answered by ikleyn,MathTherapy)
the product of two numbers is 36 and their quotient is 9. find the numbers. (answered by 428225)
The product of two numbers is 36 and their quotient is 9.Find the... (answered by josgarithmetic)
the product of two numbers is 36 and their quotient is 9.Find the numbers. (answered by Alan3354,KMST)
The product of two numbers is 36 and their quotient is9.Find the... (answered by math_helper)
the quotient of two numbers is 9. the sum of the same two numbers is 70 what are the two... (answered by ewatrrr)
The sum of two numbers is 70. Their quotient is 13. what are the two... (answered by Fombitz)