Question

Find x in the following proportion:
1. 10:x=80:32
2. 4:10=x:70
3. 18:24=3:x​

Answer 1

ANSWER:

Given:

1. 10 : x = 80 : 32
2. 4 : 10 = x : 70
3. 18 : 24 = 3 : x

To Find:

• Value of x

Solution:

1) 10 : x = 80 : 32

⇒10/x = 80/32

Dividing numerator and denominator in RHS by 16,

⇒10/x = 5/2

On cross-multiplying,

⇒10 × 2= 5x

⇒20 = 5x

Transposing 5 to LHS,

⇒20/5 = x

So,

⇒x = 4

2) 4 : 10 = x : 70

⇒4/10 = x/70

Dividing numerator and denominator in LHS by 2,

⇒2/5 = x/70

On cross-multiplying,

⇒70 × 2 = 5x

⇒140 = 5x

Transposing 5 to LHS,

⇒140/5 = x

So,

⇒x = 28

3) 18 : 24 = 3 : x

⇒18/24 = 3/x

Dividing numerator and denominator in LHS by 6,

⇒3/4 = 3/x

On cross-multiplying,

⇒3x = 3 × 4

⇒3x = 12

Transposing 3 to RHS,

⇒x = 12/3

So,

⇒x = 4

Answer 2

Step-by-step explanation:

Question:

Find x in the following proportion:

1. 10:x=80:32
2. 4:10=x:70
3. 18:24=3:x​

Solution:

1.   $\sf{10 : x = 80 : 32}$

$\implies \sf{\dfrac{10}{x} = \dfrac{80}{32}}$

$\implies \sf{x = \dfrac{\not10 \times 32}{\not80 _{_{\big 8}}}}$

$\implies \sf{x = \dfrac{32}{8}}$

$\implies \sf{x = 4}$

2.   $\sf{4 : 10 = x : 70}$

$\implies \sf{\dfrac{4}{10} = \dfrac{x}{70}}$

$\implies \sf{x = \dfrac{4 \times \not 70 ^{^{\big 7}}}{\not 10}}$

$\implies \sf{x = 4 \times 7}$

$\implies \sf{x = 28}$

3.   $\sf{18 : 24 = 3 : x}$

$\implies \sf{\dfrac{18}{24} = \dfrac{3}{x}}$

$\implies \sf{x = \dfrac{\not 3 \times 24}{\not 18_{_{\big 6}}}}$

$\implies \sf{x = \dfrac{24}{6}}$

$\implies \sf{x = 4}$