If 12 is subtracted from one-third of the square of a positive number, the difference is 15. Express this statement in an equation.
The sum of the reciprocals of Suprim’s ages, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.
Find the roots of the following equations:
(i) x-1/x = 3, x ≠ 0
(ii) 1/x+4 – 1/x-7 = 11/30, x = -4, 7
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Find two consecutive positive integers, the sum of whose squares is 365.
Sulav and Sukriti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
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