Question

8.
Find the value of 'x' 12: 16::
X:28
М:
21
28
O 14
16​

Answer 1

12/16=x/28

3/4=x/28

X=3×28/4

=21

Answer 2

Step-by-step explanation:

12 : 16 = x : 28

Form the fractions

➾ \dfrac{12}{16} = \dfrac{x}{28}

16

12

=

28

x

Reducing the 1st fraction by 4,

➾ \dfrac{3}{4} = \dfrac{x}{28}

4

3

=

28

x

Cross - multiply

➾ 28 × 3 = x × 4

Multiply

➾ 84 = 4x

Switch the sides

➾ 4x = 84

Find x

➾ x = \dfrac{84}{4}

4

84

➾ x = 21

∴ The value of x is \blue{\boxed{\blue{\boxed{\green{\mathbb{21}}}}}}

21

Verification :-

\dfrac{12}{16} = \dfrac{x}{28}

16

12

=

28

x

➾ \dfrac{3}{4} = \dfrac{x}{28}

4

3

=

28

x

➾ 28 × 3 = x × 4

➾ 84 = 4x

➾ 4x = 84

➾ 4 × 21 = 84

➾ 84 = 84

∴ LHS = RHS ✔✔