Question Bank
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The area of a rectangle remains same if length is increased by 7 and breadth decreased by 3, or length decreased by 7 and breadth increased by 5. Find length.
Find the value of k for which the system kx - y = 2 and 6x - 2y = 3 has a unique solution.
Two numbers are in ratio 5:6. If 8 is subtracted from each, the ratio becomes 4:5. Find the numbers.
The sum of ages of a father and son is 45. Five years ago, the product of their ages was 124. Find father's age. (Convert to linear context: Five years ago, father was 4 times son).
A man starts his job with a certain monthly salary and a fixed increment every year. If his salary was Rs 15000 after 4 years and Rs 18000 after 10 years, find starting salary.
Find 'k' if the point (k, k) lies on the line 5x + 3y = 16.
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find the angles.
If 0.4x + 0.3y = 1.7 and 0.7x - 0.2y = 0.8, find x.
In a triangle ABC, angle A = x, B = 2x, C = 3x. Find x.
A and B together have Rs 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, find B's amount.
If 5/(x+y) + 1/(x-y) = 2 and 15/(x+y) - 5/(x-y) = -2, find x+y.
The sum of digits of a two-digit number is 12. The number obtained by interchanging the digits exceeds the original number by 18. Find the number.
Find the point of intersection of x = 3 and y = -2.