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Question
The sum of 2 numbers is 75. If one exceeds the other by 13, the numbers are ______.
Options
(45, 30)
(44, 31)
(40, 35)
(41, 34)
MCQ
Fill in the Blanks
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Solution
The sum of 2 numbers is 75. If one exceeds the other by 13, the numbers are (44, 31).
Explanation:
Let the two numbers be x and x + 13, since one exceeds the other by 13,
Given:
x + (x + 13) = 75
2x + 13 = 75
2x = 75 − 13
2x = 62
x = `62/2`
∴ x = 31
So, the two numbers are:
x = 31
x + 13 = 44
Therefore, the numbers are 44 and 31.
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