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Find the value of m from the equation 2x + 3y = m. If its one solution is x = 2 and y = −2
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Which of the following is a solution of the equation 2x – y = 6?
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Solve by the method of elimination
2x – y = 3, 3x + y = 7
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Solve by the method of elimination
x – y = 5, 3x + 2y = 25
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Solve by the method of elimination
`x/10 + y/5` = 14, `x/8 + y/6` = 15
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Solve by the method of elimination
3(2x + y) = 7xy, 3(x + 3y) = 11xy
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Solve by the method of elimination
`4/x + 5y` = 7, `3/x + 4y` = 5
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Solve by the method of elimination
13x + 11y = 70, 11x + 13y = 74
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The monthly income of A and B are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves ₹ 5,000 per month, find the monthly income of each
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Five years ago, a man was seven times as old as his son, while five year hence, the man will be four times as old as his son. Find their present age
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Solve by cross-multiplication method
8x – 3y = 12, 5x = 2y + 7
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Solve by cross-multiplication method
6x + 7y – 11 = 0, 5x + 2y = 13
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Solve by cross-multiplication method
`2/x + 3/y` = 5, `3/x - 1/y + 9` = 0
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Akshaya has 2 rupee coins and 5 rupee coins in her purse. If in all she has 80 coins totalling ₹ 220, how many coins of each kind does she have.
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It takes 24 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 8 hours and the pipe of the smaller diameter is used for 18 hours. Only half of the pool is filled. How long would each pipe take to fill the swimming pool
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The sum of a two digit number and the number formed by interchanging the digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sums of the digits of the first number. Find the first number.
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The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes `1/2`. Find the fraction
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ABCD is a cyclic quadrilateral such that ∠A = (4y + 20)°, ∠B = (3y − 5)°, ∠C = (4x)° and ∠D = (7x + 5)°. Find the four angles
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On selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains ₹ 2000. But if he sells the T.V. at 10% gain and the fridge at 5% loss, he gains Rs. 1500 on the transaction. Find the actual price of the T.V. and the fridge.
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Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers.
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