# 9.2.1. Ratio

The ratio between two integer numbers is . If 3 is added to the first number and 7 is subtracted from the second number, the ratio between them becomes . Determine the two numbers.

- A,
- B6, 12
- C,
- D62, 124

If a certain number is added to the two terms of the ratio , the ratio becomes . Find that number.

Show SolutionIf the square of a certain number is added to each of the two terms of the ratio , the ratio becomes . Find the number.

- A 17
- B 5
- C 25
- D 10

If we subtract thrice a certain number from each of the two terms of the ratio , the ratio becomes . Find the number.

Show SolutionDetermine the ratio between the areas of two squares; the first has a side length of , and the second has a side length of .

- A
- B
- C
- D

A sum of money is distributed between two people with a ratio of . If the share of the first is LE, then the share of the other is .

Show SolutionIf , find .

Show SolutionGiven that the perimeter of a rectangle equals cm, and the ratio between the lengths of two of its sides is , determine its area.

- A
- B
- C
- D

Determine the two positive real numbers whose ratio is , and the square of the small number exceeds 7 times the great number by 560.

- A196, 256
- B80, 70
- C28, 32
- D3 920,4 480

The success rate of the third preparatory in a governorate is , where the percentage of success of the boys is , and that of the girls is . Determine the ratio between the number of boys and the number of girls in this grade.

- A
- B
- C
- D

The ratio between the base length and the height of a triangle is , and its area is . Find the lengths of the base and the height.

- Acm, cm
- Bcm, cm
- Ccm, cm
- Dcm, cm

Find the positive number whose multiplicative inverse can be added to the consequent of the ratio so it becomes .

- A3
- B10
- C13
- D4

Determine the four proportional numbers of which the fourth proportional equals the square of the second, the first is less than the second by 1, and the third is 72.

- A or
- B or
- C or
- D or

If , , , and are four proportional numbers, where , , and , find , , , and .

- A, , ,
- B, , ,
- C, , ,
- D, , ,

Find the number that should be added to each of the numbers 39, 32, 30, and 24 to make them proportional.

Show SolutionThe ratio between two integer numbers is . If 33 is subtracted from each number, the ratio between them becomes . Determine the two numbers.

- A 4 and 10
- B 6 and 1
- C 6 and 15
- D 1 and 15