The average of 6 consecutive integers is 17.5. What is the smallest integer?
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Six consecutive integers centered at 17.5 are 15 through 20.
Therefore, the smallest is 15.
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Six consecutive integers centered at 17.5 are 15 through 20.
Therefore, the smallest is 15.
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Workers and time are inversely proportional for fixed work.
Thus, 12 × 15 = 20 × days, giving 9 days.
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The average of 1 through n is (n + 1)/2.
Setting (n + 1)/2 = 20 gives n = 39.
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The sum is 12 + 18 + 20 + 30 = 80.
Dividing by 4 gives an average of 20.
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The difference between C and A is 2 ratio parts, equal to Rs. 600.
One part is Rs. 300, so 12 parts total Rs. 3,600.
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Total equals average multiplied by the number of values.
Thus, 24 × 5 = 120.
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Initially, milk is 42 liters and water is 18 liters.
For a 7:5 ratio with 42 liters milk, water must be 30 liters, so add 12.
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The original total is 8 × 15 = 120.
After removing 22, the total is 98, and 98 ÷ 7 = 14.
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Let the numbers be 5k and 8k; then (5k + 9)/(8k + 9) = 2/3.
Solving gives k = 9, so the smaller number is 45.
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The original total age is 4 × 25 = 100 years.
The new total is 5 × 27 = 135, so the new age is 35.
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Profit equals selling price minus cost price.
Thus, 920 - 800 = Rs. 120.
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The weighted sum is 70 × 2 + 90 × 3 = 410.
Dividing by the total weight 5 gives 82.