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:

14 , 15

Step-by-step explanation:

Let one number be x and then we are given that second number is three times the first number

That means the second number is 3x.

Now, we are asked to add 15 to both the numbers.

Therefore, the new numbers are x+15 and 3x+15 .

Now, one of the new numbers is twice another new number and since we know that x+15is smaller than another number therefore, 3x+15=2(x+15)

Now, simplifying this we get,

3x+15=2(x+15)⇒3x+15=2x+30⇒x=15

Therefore, one number is 15 and we know another number was thrice the first number, therefore, another number is 45.

Hence, the two numbers are 15 and 45.