Question
Average of 20 numbers is 90. Average of first 8 numbers
is 103 while average of last nine numbers is 40. If ninth number is 25% less than the tenth number which is equal to the eleventh numbers then find the tenth number.Solution
Sum of ninth, tenth and eleventh number = 20 × 90 – 8 × 103 – 9 × 40 = 616 Let tenth number = x = eleventh number So, ninth number = 0.75 × x = 0.75x So, x + 0.75x + x = 616 Or, 2.75x = 616 Or, x = 224
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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