Mathematics Questions

If 10% of x is 20, what is x?

The ratio of two numbers is 3:4 and their sum is 70. Find the smaller number.

If a number is added to its half, the result is 12. Find the number.

For what value of k will the lines 3x + y = 5 and kx + 2y = 10 be coincident?

In a two-digit number, the sum of digits is 9. If digits are reversed, the new number is 27 more than the original. Find the original number.

A boat travels 24 km upstream in 6 hours and 24 km downstream in 3 hours. Find the speed of the boat in still water.

Solve for x and y: 1/x + 1/y = 5/6 and 1/x - 1/y = 1/6

Five years ago, A's age was 3 times B's age. Ten years later, A will be twice as old as B. Find current age of A.

Solve for x: (x-1)/(x-2) = (x+3)/(x-3)

If 3x + 4y = 10 and 4x + 3y = 11, what is the value of x + y?

For what value of 'p' does the system of equations px + 2y = 5 and 3x + y = 1 have no solution?

A fraction becomes 1/3 if 1 is subtracted from the numerator and it becomes 1/4 if 8 is added to the denominator. Find the fraction.

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.

If 2^x + 3^y = 17 and 2^(x+1) - 3^y = 7, find x.

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.

Solve for x: 1/(x+1) + 1/(x+2) = 2/(x+10)

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.