Question

One number is three times the another number. If 15 is added to both numbers, then one of the new numbers become twice that of the other new number . Find the numbers

Answer 1

Answer:

The numbers are 15 and 45.

Step-by-step explanation:

Gívєn -

One Number is = Thrice the another

When 15 is added to both the numbers, then one of the new numbers become twice that of the other new number

Tσ fínd -

The Numbers

Sσlutíσn -

Let the numbers be as -

• One Number as x
• Second Number as 3x

$\rule{300}{1.5}$

When 15 is added to both -

• (x + 15)
• (3x + 15)

$\rule{300}{1.5}$

According to the Question -

The new numbers formed after adding 15, one of the new numbers become twice that of the other new number.

$\sf{\implies} \: 2(x + 15) = (3x + 15)$

$\sf{\implies} \: 2x + 30= 3x + 15$

$\sf{\implies} \: 2x - 3x=15 - 30$

$\sf{\implies} \: \cancel-x=\cancel-15$

One Number = 15

$\rule{300}{1.5}$

Second Number =

$\sf{\implies} \: 3(15)$

$\sf{\implies} \: 45$

Second Number = 45

$\therefore$ The numbers are 15 and 45.

Answer 2

Answer :

Required Numbers are 45 and 15.

Step-by-step explanation :

Gɪveη that :  

When 15 is added to both the numbers, then one of the new numbers become twice that of the other new number.

One Number = Thrice the another.

To Find :

The Numbers.

Solution :

$\bigstar\;\textbf{\underline{\underline{Consider as -}}}}$

One number as - x

Second Number as - y

According to your Question,

⇒ x = 3y      .............Eq(i)

As Given; 15 is added to both Numbers by which it becomes,

⇒ x + 15 & y + 15.

⇒ (x + 15) = 2(y + 15)              ............Eq(ii).

Now, We have,

⇒ x = 3y   .............Eq(i)

⇒ (x + 15) = 2(y + 15)     ............Eq(ii)

So,

Putting value of Eq(i) in Eq(ii),

⇒ (x + 15) = 2(y + 15)        

Using the value of x here,

⇒ (3y + 15) = 2(y + 15)

⇒ 3y + 15 = 2y + 30

Subtraction of 15 from both sides,

⇒ 3y + 15 -15 = 2y + 30 -15

⇒ 3y = 2y + 15

Subtraction of 2y from both sides,

⇒ 3y - 2y = 2y + 15 -2y

⇒ y = 15

∴ The value of y = 15.

Putting value of y in Eq(i),

⇒ x = 3(15)

⇒ x = 45

Therefore,

The value of y = 15 and value of x = 45

Hence, the two Numbers are 45 and 15