MEDIUM
10th ICSE
IMPORTANT
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The sum of the squares of two consecutive odd positive integers is . Find them.

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Important Questions on Quadratic Equations in One Variable
MEDIUM
10th ICSE
IMPORTANT
Divide into two parts, such that twice the square of the larger part exceeds thrice the square of the smaller part by .

HARD
10th ICSE
IMPORTANT
The sum of two numbers is . If the sum of their reciprocals is , if the numbers are then find the value of .

HARD
10th ICSE
IMPORTANT
A two-digit number is such that the product of its digits is . When is subtracted from the number, the digits interchange their places. Find the number.

HARD
10th ICSE
IMPORTANT
A two-digit number contains the smaller of two digits in the unit's place. The product of the digits is and the difference between the digits is . Find the number.

HARD
10th ICSE
IMPORTANT
In a certain positive fraction, the denominator is greater than the numerator by . If is subtracted from both the numerator and denominator, the fraction is decreased by Find the fraction.

MEDIUM
10th ICSE
IMPORTANT
The product of Shikha's age five years ago and her age later is , find her present age.

HARD
10th ICSE
IMPORTANT
The sum of the reciprocals of Rehman's ages (in years) ago and from now is . Find his present age.

HARD
10th ICSE
IMPORTANT
A take days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in days, find the time taken by B to finish the work.
