If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. if you reverse the digits in the two-digit number, the new number is 18 more than the sum of its two digits. what is the original number? 42

The digits are x and y

multiply sum of digits by 7
7(x+y) you get the original number which would be 10x+y
so
7x+7y=10x+y

if reverse digits, new number is18 more than sum
10y+x=18+x+y

so we got

7x+7y=10x+y
10y+x=18+x+y
we can minus x+y from both sides in all the equations to obtain

6x+6y=9x
9y=18

last one, divide both sides by 9
y=2

sub back
6x+6y=9x
6x+6(2)=9x
6x+12=9x
minus 6x both sides
12=3x
divide both sides by 3
4=x

the number is 42

why did you write it down there, oh well

Iwould say false, not positive but if prices went up for both stores, technically there will be less buyers?

The answer that i got was 8/3