Question
Download Solution PDFThe ratio of two numbers is 1 : 2. If 21 is added to both numbers, then the ratio becomes 5 : 7. Find these numbers
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of two numbers is 1:2. If 21 is added to both numbers, the ratio becomes 5:7.
Formula used:
Let the two numbers be x and 2x (since their ratio is 1:2).
After adding 21 to both numbers:
(x + 21)/(2x + 21) = 5/7
Calculation:
Cross-multiply:
⇒ 7(x + 21) = 5(2x + 21)
⇒ 7x + 147 = 10x + 105
⇒ 10x - 7x = 147 - 105
⇒ 3x = 42
⇒ x = 14
So, the two numbers are x = 14 and 2x = 28.
∴ The two numbers are 14 and 28.
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