Question

one number is 3 times another number. if 15 is added to both the numbers , then one of the new numbers becomes twice that of the other new number . find the numbers​

Answer 1

Answer:

The numbers are 15 and 45.

Step-by-step explanation:

One number is 3 times another number (Given)

Let,

• First number = x
• Second number = 3x

If 15 is added to both the numbers

• First number = x + 15
• Second number = 3x + 15

Also,

One of the new numbers becomes twice that of the other new number

★ According to the Question :

$\longrightarrow$ 2 (x + 15) = 3x + 15

$\longrightarrow$ 2x + 30 = 3x + 15

$\longrightarrow$ 30 - 15 = 3x - 2x

$\longrightarrow$ 15 = x

$\longrightarrow$ x = 15

• First number = 15

Second number = 3x

$\longrightarrow$ 3 × 15

$\longrightarrow$ 45

• Second number = 45

Therefore, the numbers are 15 and 45.

Answer 2

Given :-

One number is 3 times another number. if 15 is added to both the numbers , then one of the new numbers becomes twice that of the other new number .

To Find :-

Number

Solution :-

Let the number be a

Thrice the number = 3a

2(a + 15) = 3a + 15

2a + 30 = 3a + 15

2a - 3a = 15 - 30

-a = -15

a = 15

Therefore

Numbers are

a = 15

3a = 3(15) = 45