Question
5 positive numbers are written on a piece of paper. Sum
of first 3 numbers is 45 and ratio of the 4th and the 5th number is 2:3. If difference between the 4th and the 5th number is 18, then find the average of all the numbers.Solution
Given, 4th number:5th number = 2:3 Let, 4th number = 2x 5th number = 3x So, 3x – 2x = 18 Or, x = 18 Required average = {(45 + 18 × 2 + 18 × 3)/5} = (135/5) = 27
Simplify:
6x + 8y - [(12x + 6y) - (4x + 3y) + 2y] - 4xIf 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
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