SOLUTION: The sum of two decimal numbers is 3.9. Their difference is 0.9, and their product is 3.6 What are the two numbers?

Question 473423: The sum of two decimal numbers is 3.9. Their difference is 0.9, and their product is 3.6 What are the two numbers?
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Let a and b be the 2 numbers:
a + b = 3.9
a - b = 0.9
a*b = 3.6
Lets solve for a in 2nd equation:

Add b on both sides

Now substitute this in for a in 1st equation:

Add like terms

Subtract 0.9 on both sides

Divide by 2 on both sides

Substitute this value in for b to solve for a:

Therefore the 2 numbers are 1.5 and 2.4
You can check that 1.5*2.4 = 3.6
RELATED QUESTIONS
the sum of two decimal numbers is 5.3 Their difference is 1.7 and their product is 6.3... (answered by CubeyThePenguin)

the sum of two numbers is 9 and their difference is 6,what are the numbers? (answered by Fombitz)

The difference of two numbers is 9 and their sum is 37. what are the numbers? (answered by mananth)

the sum of two numbers is -9 and their difference is 31, what are the... (answered by addingup)

The sum of two numbers is 9 and their difference is 6. What are the two... (answered by nerdybill)

The sum of two numbers is 33. Their difference is 9. What are the two... (answered by mathslover)

The sum of two numbers is 31. Their difference is 9. What are the two... (answered by checkley71)

The sum of two numbers is 33. Their difference is 9. What are the two... (answered by solver91311,MathLover1)

The sum of two numbers is 25 their difference is 9 what are the two numbers? (answered by Ex)

The sum of two numbers is 25 their difference is 9 what are the two... (answered by mananth)