Fill in the missing numbers

(1) 20

(2) 90
(3) 35
(4) 9
(5) 16 : 9 : 12

(1) 20 agree

(2) 9 disagree
(3) 35 agree
(4) 9 agree
(5) Huh? maybe 3:9:27 = 4:12:36

You are correct! There are multiple possible solutions for (5), and your answer is another valid one. Nice job catching that!

(1) To fill in the missing numbers, we can use the concept of ratios.

Given: 5:6 = _:24

To find the missing number, we can cross-multiply and solve for it:

5 x 24 = 6 x _

120 = 6x

Divide both sides of the equation by 6 to solve for x:

x = 120/6

x = 20

Therefore, the missing number is 20.

(2) Given: 25:_ = 100:36

To find the missing number, we can use cross-multiplication:

25 x 36 = 100 x _

900 = 100x

Divide both sides of the equation by 100 to solve for x:

x = 900/100

x = 9

Therefore, the missing number is 9.

(3) Given: 4:10 = 14:_

Using cross-multiplication:

4 x _ = 10 x 14

4x = 140

Divide both sides of the equation by 4 to solve for x:

x = 140/4

x = 35

Therefore, the missing number is 35.

(4) Given: 10:15:45 = 2:3:_

Using cross-multiplication:

10 x _ = 15 x 3

10x = 45

Divide both sides of the equation by 10 to solve for x:

x = 45/10

x = 4.5

Therefore, the missing number is 4.5.

(5) Given: _:9:27 = 4:_:3

Using cross-multiplication:

9 x 3 = _: 4

27 = _: 4

Divide both sides of the equation by 4:

27/4 = _

Therefore, the missing number is 6.75.