Question
The average of two numbers is 4 more than the smaller
number among them. If the greater number is 50% more than the smaller number, then find the sum of the two numbers.Solution
Let the smaller number be 2x.
So, the greater number = 1.5 Ă— 2x = 3x.
ATQ, 2x + 4 = (2x + 3x) / 2
⇒ 2x + 4 = 5x / 2
⇒ 4x + 8 = 5x
⇒ x = 8
So, the sum = 5x = 5 Ă— 8 = 40.
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