Question

4) A positive number is 7 times another number. If 15 is added to both the

numbers, then one of the new number becomes twice the other new number.

What are the numbers ?
for example​

Answer 1

Let the numbers be x. Then,

One positive Number = 7x

Other positive Number = x

But, 15 is added to both the numbers.

So,

One positive Number =7x+15

Other positive Number =x+15

Then, One of the number becomes twice the other new number

Now,

we have to find the both positive Numbers

Bu putting equations i and ii, we get

According to the Question

7x+15=2(x+15) (Given)

7x+15 = 2x+30

5x = 15

x = 3

One Positive Number = 7×3 =21

Other Positive Number = 1×3 = 3

Verifying the answers ,

By putting equations i and ii

21+15 = 2(3+15)

36 = 2×18

36=36

Hence, LHS= RHS