Question

Choose the correct option.
OPTIONS
Sonia noticed that her mobile phone can record twice the number of songs as Rehana's
phone. However Rehana boasted to Rani that Sonia's phone can record just ten more
songs than hers. If both are right, how many songs can Sonia store in her mobile phone?
30
10
20
Data insufficient​

Answer 1

Answer:

20

Step-by-step explanation:

let x be the songs rihana can store

sonia can store 2x

x=10

2×10

20

Answer 2

Given,

Sonia noticed:

Her phone can record songs twice that of Rehana's phone.

Rehana said to Rani:

Sonia's phone can record just 10 more songs than hers.

To find,

The number of songs that Sonia can store.

Solution,

This problem can be simply solved by following the below process.

Let the songs that Sonia's phone can record be x and that for Rehana's phone be y. It is given that both are right.

Now, according to what Sonia noticed,

x = 2y

But, according to what Rehana told Rani,

x = y + 10

We can find songs that can be recorded by Sonia's phone by solving the above two equations.

So, substituting

y = x - 10 from the second equation in the previous equation, we get,

x = 2(x - 10)

⇒ x = 2x - 20

Simplifying and rearranging, we obtain,

x = 20

Therefore, the number of songs Sonia can store on her phone is 20.