Question
Two numbers are in the ratio 7:9. If the larger number is increased by 25 and the smaller number is decreased by 10, then the larger number becomes twice the smaller number. Find the larger number.
Solution
ATQ, Let the larger number = 9x The smaller number = 7x (9x + 25)/(7x − 10) = 2/1 9x + 25 = 14x − 20 5x = 45 x = 9 The larger number = 9 × 9 = 81
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