Question

A positive number is 5 times another number. If 21 is added to both the numbers,
then one of the new numbers becomes twice the other new number. What are the
numbers?
digits it is​

Answer 1

x = 5y

x + 21 = 2( y +21)

x + 21 = 2y + 42

Substitute the first equation in the second one,

5y + 21 = 2y + 42

5y + 21 - 2y - 42 = 0

3y -21 = 0

3y = 21

y = 21/3 = 7

x = 5y

Therefore, x = 5 * 7

x = 35

The number is 35.

Hope this helps !

Answer 2

Let the numbers be x,y  ⟹y=5x  21 is added   The numbers are  y+21,x+21  According to question   y+21=2(x+21) 5x+21=2x+42 5x=2x+21 3x=21 x=7⟹y=35  I hope this helps