Question

a positive number is 5 times another number if 21 is added to both number then one of new number of becomes the number what are the number​

Answer 1

Solution:

Let one of the positive number be x

Then the other number would be 5x

According to the question,

$5x+21=2(x+21)\\\implies 5x+21=2x+42\\\implies 5x-2x=42-21\\\implies 3x=21$

Now, finding the value of x

$\implies x= \frac{21}{3} \\\implies x=7$

Therefore,

One number $=x= \boxed{7}$

Other number $=5x=5 \times 7 = \boxed{35}$

Hence, the two numbers are 7 and 35