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Question
The sum of 2 numbers is 18, and their difference is 8. Therefore, the product of numbers is ______.
Options
80
77
65
72
MCQ
Fill in the Blanks
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Solution
The sum of 2 numbers is 18, and their difference is 8. Therefore, the product of numbers is 65.
Explanation:
Let the numbers be x and y,
x + y = 18 ...(1)
x − y = 8 ...(2)
Now, adding equations (1) and (2):
(x + y) + (x − y) = 18 + 8
2x = 26
x = `26/2`
∴ x = 13
Substitute x = 13 into equation (1):
13 + y = 18
y = 18 − 13
∴ y = 5
So, the numbers are 13 and 5,
Hence, the product is 13 × 5 = 65.
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