One number is three 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.
Answers
Answer:
The two Numbers are 45 and 15
Step-by-step explanation:
Let us suppose that one number is x and other is y
According to given condition
x = 3y .............(i)
Now 15 is added to both Numbers by which it becomes
x+15 and y +15
Then According to second condition
(x+15) = 2(y+15) ............(ii)
Now we have got two equations and from this we can find the two numbers
From first equation we have
x = 3y
Putting this value in equation (ii) which is
(x+15) = 2(y+15)
Putting the value of x here
(3y+15) = 2(y+15)
3y + 15 = 2y + 30
Subtracting 15 from both sides
3y + 15 -15 = 2y + 30 -15
3y = 2y + 15
Subtracting 2y from both sides
3y - 2y = 2y + 15 -2y
y = 15
Now we got the value of y for the value of y we can use equation (i)
which is
x = 3(y)
putting value of y here
x = 3(15)
x = 45
So value of y = 15 and value of x = 45
Now the two Numbers are 45 and 15
Answer:
15 and 45
Brainly Solution:
Let given number be x.
Then the other number = 3x
The new numbers are x + 15 and 3x + 15.
By the given condition,
one new number + 15 = 2
i.e.,
3x + 15 = 2(x + 15)
⇒ 3x + 15 = 2x + 30
⇒ 3x - 2x = 30 - 15
⇒ x = 15
Hence, one number is 15 and the other number is 3 × 15 = 45.