Question

The sum of two numbers is 25 and their product is 144 find the number the sum of two numbers is

Answer 1

Answer:

9 , 6

Step-by-step explanation:

As 19+6=25

19x6=144

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Answer 2

Answer:

• The numbers are 9 and 16.

Step-by-step explanation:

Given

• Sum of two numbers = 25
• Product of two numbers = 144

To find

• The two numbers

Solution

Let the numbers be x and y, then

Sum of two numbers = 25

• x + y = 25
• x = 25 - y  (I)

Product of two numbers = 144

• xy = 144  (II)

Place the value of x in (II)

• (25 - y)(y) = 144
• 25 - y² = 144
• y² - 25y + 144 = 0
• y(y - 16) - 9(y - 16) = 0
• (y - 9) = 0 or (y - 16) = 0
• y = 9 or y = 16

Place the value of y in (I)

• x = 25 - y
• x = 25 - 16
• x = 9

Hence, the two numbers are 9 and 16.

Verification

• x + y = 25
• 9 + 16 = 25
• 25 = 25
• xy = 144
• 9(16) = 144
• 144 = 144
• L.H.S = R.H.S