Question

One number is twice another number. If 15 is subtracted from both the numbers, then one of the new
numbers becomes thrice that of the other new number. Find the numbers.​

Answer 1

Step-by-step explanation:

Given:-

• One number is twice the other.

• If 15 is subtracted from both the numbers, then one number becomes twice the other.

To Find:-

• The two numbers.

Solution:-

Case 1:-

Let one of the numbers number be x

Given, one number is twice the other.

The other number = 2x

The numbers are x and 2x

Case 2:-

If 15 is subtracted from both.

One of the numbers becomes = x - 15

And the another number becomes = 2x - 15

Given, One number becomes thrice the other.

2x - 15 becomes 3 times x - 15

$\sf\implies 2x - 15 = 3(x - 15)$

$\sf\implies 2x - 15 = 3x - 45$

$\sf\implies 3x - 2x = 45 - 15$

$\sf\implies x = 30$

One of the numbers = x = 30

The another number = 2x = 2 × 30 = 60

$\large\underline{\boxed{\sf \therefore The \: numbers \: are\: 30 \: and \: 60}}$

Answer 2

Answer:

✯ Given :-

• One number is twice another number.
• 15 is substracted from both the numbers, then one of the new numbers becomes thrice that of the new number.

✯ To Find :-

• What is the number.

✯ Solution :-

» Let, the one number be x

» And, the other number be 2x

» If 15 is substracted from both the numbers, then one of the new numbers becomes thrice that of the new numbers.

➣ According to the question,

⇒ 3(x - 15) = 2x - 15

⇒ 3x - 45 = 2x - 15

⇒ 3x - 2x = - 15 + 45

➠ x = 30

Hence, the required numbers are :-

❑ One number = x = 30

❑ Other number = 2x = 2(30) = 60

$\therefore$ The two numbers are 30 and 60 .