Question
The average of two numbers is 3 more than the smaller
number among them. If the greater number is 25% more than the smaller number, then find the sum of the two numbers.Solution
Let the smaller number be 4x.
Greater = 1.25 × 4x = 5x.
ATQ, 4x + 3 = (4x + 5x) / 2
⇒ 4x + 3 = 9x / 2
⇒ 8x + 6 = 9x
⇒ x = 6
Sum = 9x = 9 × 6 = 54.
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