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Question
One number is 6 times the other. If their difference is 90, the numbers are ______.
Options
(12, 72)
(13, 78)
(18, 108)
(10, 100)
MCQ
Fill in the Blanks
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Solution
One number is 6 times the other. If their difference is 90, the numbers are (18, 108).
Explanation:
Let the smaller number be x,
Then the larger number is 6x, since one number is 6 times the other,
Given:
6x − x = 90
5x = 90
x = `90/5`
∴ x = 18
So the numbers are:
Smaller: x = 18
Larger: 6x = 6(18) = 108
Therefore, the numbers are 18 and 108.
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