SOLUTION: The sum of two whole numbers is 19. The product of the number is 84. What are the two numbers?

Question 510110: The sum of two whole numbers is 19. The product of the number is 84. What are the two numbers?

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x + y = 19
so
x = 19-y
.
x*y = 84
so
x = 84/y
.
substitute
.
84/y + y = 19
.
multiply both sides by 'y'
.
84 + y^2 = 19y
.
rearrange
.
y^2 -19y +84 = 0
.
factor
.
(x-12)(x-7) = 0
.
x = 12 or x=7
.
which means the other number is either 7 or 12, respectively.
.
12*7 = 84
12+7 = 19
Correct.
.
Answer: The two numbers are 7 and 12.
.
Done.
RELATED QUESTIONS
The product of two whole numbers is 988 and their sum is 64. What are the two... (answered by Alan3354)

The sum of two numbers is 84. The difference of these numbers is 38. What are the two... (answered by ewatrrr)

if the product of two one digit whole numbers is 35, what is the sum of the same two... (answered by 303795)

the sum of two consecutive whole numbers is 35.what are the two numbers (answered by Alan3354)

The sum of three whole numbers between 0 and 10 is 16. The product of the numbers 120.... (answered by solver91311)

The larger of two number is 5 more than the smaller.If their product is 84,what are the... (answered by pakhi)

The product of two consecutive whole numbers is 272. What are those numbers? (answered by Theo)

If the product of two whole numbers is 36, what is the greatest possible sum that the... (answered by tommyt3rd)

The product of two numbers is 621. The sum of the two numbers is 50. What are the two... (answered by Maths68)