Mathematics
Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is:
39
49
66
77
Ratio Proportion
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Answer
Let the two numbers be 7x and 11x.
Given,
When 7 is added to each number, the new ratio is 2 : 3.
⇒ 3(7x + 7) = 2(11x + 7)
⇒ 21x + 21 = 22x + 14
⇒ 22x - 21x = 21 - 14
⇒ x = 7.
The smaller number is 7x = 7(7) = 49.
Hence, option 2 is the correct option.
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