Question
Two numbers are in the ratio 3:5. If the larger number is increased by 20 and the smaller number is decreased by 4, then the larger number becomes three times the smaller number. Find the larger number.
Solution
ATQ, Let the larger number = 5x The smaller number = 3x (5x + 20)/(3x − 4) = 3/1 5x + 20 = 9x − 12 4x = 32 x = 8 The larger number = 5 × 8 = 40
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