Question
Download Solution PDFThe ratio of two numbers is 5 ∶ 9 . If 6 is added to the greater number and 6 is subtracted from smaller number, then greater number becomes 6 times the smaller number. What are the numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFData:
Ratio of numbers = 5 ∶ 9
Concept:
Solve the given equations to find the numbers.
Solution:
⇒ Let the numbers be 5x and 9x.
⇒ (9x + 6) = 6(5x - 6)
⇒ 9x + 6 = 30x - 36
⇒ 6 + 36 = 30x - 9x
⇒ 21x = 42
⇒ x = 2
⇒ The numbers are 5 × 2 = 10 and 9 × 2 = 18
Therefore, the numbers are 10 and 18.
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