Is it possible to find the two consecutive natural numbers when

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Quadratic Equations

Short Answer Type

101. Is the following situation possible ? If so, determine their present ages. The product of Nimit’s age (in years) five years ago with his age (in years) 9 years later is 15.

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102. Is it possible to design a right triangular park whose area is 600 cm². The base of the triangular park exceeds the length by 10 cm. If so, determine the dimensions.

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103. Is the following situation possible? If, so find the number of wickets taken by each.In a cricket match Kumble took three wickets less than twice the number of wickets taken by R.P. Singh. The product of the number of wickets taken by these two is 20.

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104.

Is the following situation possible ? If so, determine their present ages.
The sum of the ages of two sisters is 20 yrs. Four years ago, the product of their ages in years was 50.

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105. Is it possible to find a and b. Whose sum is 15 and the sum of their reciprocals

1 over straight a space and space 1 over straight b

is

3 over 10.

If so, find them.

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106. Is it possible to divide 16 into two parts when twice the square of the larger part exceeds the square of the smaller part by 164. If so, find them.

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107. Is it possible to find the two consecutive natural numbers when the sum of their squares is 313. If so, find the numbers.

Solution not provided.
Ans. Yes, 12, 13.

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108. Is it possible to find the two numbers whose sum is 15 and sum of their reciprocals is

3 over 10.

If so, find the numbers.

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109. The sum of a number and its positive square root is

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Find the number.

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110. Solve the following by factorization method:
x² – 2ax + a² – b² = 0

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