Question

a positive number is 7 times another number. if 22 is added to both the numbers, then one of the new numbers formed becomes twice the other new number. what are the numbers ? solution for 8th class

Answer 1

Hi there !


Here's your answer

Let one number be x
other number = 7x

if 21 is added to both of them,

one number = x + 22
other number = 7x + 22

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


so, we will balance the equation,


$2(x + 22) = 7x + 22$

$2x + 44 = 7x + 22$

$44 - 22 = 7x - 2x$

$5x = 20$

$x = \frac{20}{5}$

x = 4


so,

one number = x = 4

other number = 7x = 7 × 4 = 28