The product of two number is 24 by 5 if one of the number is 11 by 6 find the other number
Answers
Step-by-step explanation:
Let the numbers be A and B.
The product of the two numbers is 24
=> A*B = 24
One number is 2 more than twice the other
=> A = 2 + 2*B
substitute this in A*B = 24
=> (2 + 2*B)*B = 24=> 2B + 2B^2 = 24
=> B^2 + B - 12 = 0
=> B^2 + 4B - 3B - 12 = 0
=> B(B + 4) - 3(B + 4) = 0
=> (B - 3)(B + 4) = 0
=> B = 3 and B = 4
A = 8 and A = 6
The numbers are (3, 8) and (4, 6)
check Approved by eNotes Editorial
list Cite link Link
Related Questions
The sum of two numbers is 32. One number is 4 more than the other number. What are the two numbers?
1 EDUCATOR ANSWER
The product of two numbers is 30. If one of the numbers is 6/17, what is the other number?The...
1 EDUCATOR ANSWER
Find two positive numbers where the sum of the first number and twice the second number is 108...
1 EDUCATOR ANSWER
The sum of two numbers is 20. The larger number is four less than twice the smaller number. What...
2 EDUCATOR ANSWERS
The sum of two numbers is 53. If twice the smaller is subtracted from the larger number, the...
2 EDUCATOR ANSWERS
More »
HALA718 eNotes educator | CERTIFIED EDUCATOR
Let the numbers be x and y
Given that the product is 24.
==> x*y = 24.............(1)
Now we know that one number is 2 more than twice the other number.
==> x = 2y+ 2 ..............(2)
We will substitute (2) into (1).
==> (2y+2)*y = 24
==> 2y^2 + 2y = 24
We will divide by 2.
==> y^2 + y= 12
==> y^2 +y - 12 = 0
==> (y+4)(y-3) = 0
==> y1= -4 ==> x1= 2*-4+2 = -6
==> y2= 3 ==> x2= 2*3+2 = 8
Then we have two sets of solution.
==> The numbers are 3 and 8 OR -4 and -6.