Math
posted by Emily .
The product of two numbers is 108, and the quotient is 12. What are the two numbers.

a=first number
b=second number
a*b=108 Divide with b
a=108/b
a/b=12
(108/b)/b=12
108/b^2=12
108=12*b^2 Divide with 12
9=b^2
b=sqroot(9)
b=3
a=108/b
a=108/3
a=36
a=36 b=3
a*b=36*3=108
a/b=36/3=12 
You also can write:
b=sqroot(9)
b= 3
a=108/b
a=108/ 3
a= 36
a= 36 b= 3
a*b=(36)*(3)=108
a/b= 36/ 3=12 
sqroot(9)= 3 OR 3
Respond to this Question
Similar Questions

Math
Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest whole … 
mathword problems with quadratics
I have 5 questions... 1) The sum of two numbers is 12. Their product is 36. Find the two numbers. 2) The sum of two numbers is 15. Their product is 100. Find the two numbers. 3) The sum of two numbers is 8. Their product is 12. … 
Math
When factoring a trinomial that is in the format Ax^2 + Bx + C, the number that is represented by B should be viewed as the _____? 
Math
Two numbers have a product of 676 and a quotient of 4. What are the numbers? 
math
The quotient of two numbers is 8. The sum of the same two numbers is 72. What is the two numbers 
algebra
Are the following true or false? 1. The difference of two natural numbers is always a natural number. 2. The sum of two natural numbers is always a natural number. 3. The quotient of two natural numbers is always a natural number. 
math
the quotient of two numbers is 8. the sum of the same numbers is 72. what are thr two numbers? 
Programming
Read two numbers from the keyboard Display the menu options as follows: 1  computes the sum of two numbers. 2  computes the difference (first minus second). 3  computes the product of the two numbers. 4  if the second number is … 
Math
supposed that two balanced dice are rolled. let Y denote the product of the two numbers. use random variable notation to represent the event that the product of the two numbers is greater than 4 a {5,6} b {XY>4} c{Y>4} d P(Y>4) 
maths
two numbers are in a gp,twice the product of the 1st two numbers is 9times more than the product of the last two numbers.if the product of all the number is 9.find the gp.