Let the first term of the AP be a & the common difference = d 8th term = A8 = a + 7d 12th term = A12 = a + 11d According to question, 8 × (a + 7d) = 12 × (a + 11d) 8a + 56d = 12a + 132d 12a − 8a = 56d − 132d 4a = −76d a = −19d a + 19d = 0 = A20
The area of rhombus is 270m² and one of its diagonal is 18 m. Find the length of another diagonal.
The simple interest on a sum of money is 8/25 of the sum. If the rate of interest per annum is two times of the number of years in numerically. Find the...
A woman is 4 times as old as her daughter. In 8 years, the woman will be twice as old as her daughter. What are their current ages?
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A retailer buys two items at the same cost price. He sells one at a 25% profit and the other at a 20% loss. If the overall profit is rupees 15, find the...
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From a point 30 m away from the base of a building, the angle of elevation to the top of the building is 60°. Find the height of the building.
Two cars, A and B, are traveling in the same direction on a highway. The ratio of their speeds is 3:4. If both cars increase their speeds by 15 km/h, th...
