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The sum of two numbers is 73 and their difference is 28. Find the difference between their squares.
Let x and y be the two given numbers
(x + y) = 73; (x – y) = 28
(x2 – y2) = (x + y) (x – y) = 73×28 = 2044
6/7 of a certain number is 96. Find quarter of that number.
6/7x = 96
x = 112
y = x/4 = 112/4 = 28
36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203. What is the first part?
Let the first part be x.
8x + 3 (36 – x) = 203
8x + 108 – 3x = 203
5x + 108 = 203
5x = 95
x = 19
Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11?
What is the sum of this series? 1, 3, 5, 7, 9, ...... 99.
What is the sum of this series?
1, 3, 5, 7, 9, ...... 99.
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