Question

Find the value of 'x' in x/5 = 39/15 ; find the correct option; 


12

13

14

15​

Answer 1

Given:

The equation -

$\boxed{\bf \dashrightarrow \: \dfrac{x}{5} = \dfrac{39}{15}}$

What To Find:

We have to find

• Find the value of x.
• With the help of the options.

Options:

• a. 12
• b. 13
• c. 14
• d. 15

Solution:

$\sf \Longrightarrow \: \dfrac{x}{5} = \dfrac{39}{15}$

Use cross multiplication,

$\sf \Longrightarrow \: 15x = 39 \times 5$

Multiply 39 and 5,

$\sf \Longrightarrow \: 15x = 195$

Take 15 to RHS,

$\sf \Longrightarrow \: x = \dfrac{195}{15}$

Divide 195 by 15,

$\sf \Longrightarrow \: x = 13$

Verification:

$\sf \Longrightarrow \: \dfrac{x}{5} = \dfrac{39}{15}$

Substitute the value of x,

$\sf \Longrightarrow \: \dfrac{13}{5} = \dfrac{39}{15}$

Use the cross multiplication,

$\sf \Longrightarrow \: 15 \times 13 = 39 \times 5$

Multiply 15 with 13,

$\sf \Longrightarrow \: 195 = 39 \times 5$

Multiply 39 with 5,

$\sf \Longrightarrow \: 195 = 195$

∵ LHS = RHS

∴ Hence, verified,

Final Answer:

∴ Thus, the value of x is 13 ie. (Option c).

Answer 2

Solution :

Given :

= x/5 = 39/15

= 15 × x = 39 × 5

= 15x = 195

= x = 195/15

= x = 13 ans.

Option : (B)