Arithmetic

The ratio of the angles of a triangle is 1:2:3. What is the measure of the smallest angle?

If x:y = 4:7, then find (3x+2y) : (5x+y).

If x is 10% of y and y is 10% of z, what is the ratio x:z?

A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added, the ratio becomes 4:5. Find the quantity of alcohol in the mixture.

The ratio of the base and height of a triangle is 3:4 and its area is 96 sq. cm. Find the height.

The ratio of boys and girls in a school is 9:5. If there are 160 more boys than girls, find the total number of students.

If A:B = 3:4 and B:C = 8:9, then A:C is:

The ratio of three numbers is 1/2 : 2/3 : 3/4. If the difference between the largest and smallest is 36, find the numbers.

Find the duplicate ratio of 5:7.

If x:y = 2:3, find (5x-2y) : (5x+2y).

The ratio of copper and zinc in an alloy is 5:3. If the weight of copper is 18.5 g, find the weight of zinc.

If x:y = 3:2, find (x+y)^2 : (x-y)^2.

Find the fourth proportional to 2, 3, 4.

If a/3 = b/4 = c/7, then (a+b+c)/c is equal to:

Two numbers are in the ratio 2:3. If their product is 96, find the sum of the numbers.

The ratio of the diagonal of a cube to its edge is:

If (3x+5y) : (3x-5y) = 7:3, find x:y.

Divide 60 in the ratio 1:2:3. The parts are:

If A:B = 2:1 and A:C = 3:1, find B:C.

Find the value of x such that 12, 18, x are in continued proportion.