Question
Download Solution PDFThe sum of two numbers is 184. If one-third of one exceeds one-seventh of the other by 8, find the smaller number
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The sum of two numbers = 184
Calculation:
Let the numbers be x and (184 − x)
According to the question,
x × (1/3) - (184 − x)/7 = 8
⇒ (7x - 552 + 3x)/21 = 8
⇒ 7x - 552 + 3x = 8 × 21
⇒ 10x = 168 + 552
⇒ x = 720/10 = 72
One number = 72
Other number = 184 − x = 184 - 72 = 112
∴ The smaller number is 72.
Last updated on Jul 9, 2025
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