Ratio and Proportion II

Three numbers are in the ratio 2:3:5 and their sum is 360. What is the middle number?

• 72

• 108

• 144

• 180

Answer explanation

ratio is a comparison between two quantities with the same unit. It can be A:B or A/B.

day is equal to 24 hours so that 6/24

6/24 divide to 6 - 1/4

1/4 is the final answer

If the ratio of three numbers is 3:4:5 and their sum is 360, what is the largest number?

• 120

• 160

• 200

• 240

Find the middle number if the sum of three numbers is 450 and they are in the ratio 4:5:6.

• 100

• 150

• 200

• 250

Three numbers are in the ratio 1:2:3 and their sum is 210. What is the smallest number?

• 30

• 40

• 50

• 60

The difference between 2 numbers is 33 and their ratio is 5:2. Find the smaller number.

• 25

• 24

• 23

• 22

Answer explanation

Find the common factor first . lets say that x is the common factor.

5:2 equals to 5x:2x

5x - 2x = 33

5-2 = 3

3x = 33 ( divide both side to 3 )

x = 11

11 now is the cf. and 2 is the smaller number

2(11) = 22 is the final answer

If the ratio of three numbers is 4:7:9 and their sum is 540, what is the largest number?

• 180

• 270

• 360

• 450

Three numbers are in the ratio 3:5:8 and their sum is 480. What is the middle number?

• 120

• 160

• 200

• 240

The ratio of three numbers is 2:3:4 and their sum is 315. What is the smallest number?

• 35

• 45

• 55

• 65