Question

4. Fill in the missing numbers in the following equivalent ratio:

a) 14/21 =__/3 = 6/__= 28/__​

Answer 1

Answer:

14/21 = 2/3 = 6/9 = 28/42

Step-by-step explanation:

Given: 14/21 =__/3 = 6/__= 28/__. We need to find out the missing numbers.

Let's say that in first dash missing number is x, in second dash missing number is y and z in third.

→ 14/21 = x/3

→ (14 × 3)/21 = x

→ 14/7 = x

→ 2 = x

OR

→ 14/21 = x/3

→ 14/21 × 7/7 = x/3

→ 2/3 = x/3

→ x = 2

Hence, the first missing number is 2.

Similarly,

→ 14/21 = 6/y

→ 14/(21 × 6) = 1/y

→ 7/(21 × 3) = 1/y

→ 1/(3 × 3) = 1/y

→ 1/9 = 1/y

→ y = 9

OR

→ 14/21 = 6/y

→ 2/3 = 6/y

→ 2/3 × 3/3 = 6/y

→ 6/9 = 6/y

→ y = 9

Hence, the second missing number is 9.

→ 14/21 = 28/z

→ 14/(21 × 28) = 1/z

→ 1/(21 × 2) = 1/z

→ 1/42 = 1/z

→ z = 42

OR

→ 14/21 = 28/z

→ 2/3 = 28/z

→ 2/3 × 14/14 = 28/z

→ 28/42 = 28/z

→ z = 42

Hence, the third missing number is 42.