Question 791906
Two numbers, a & b, write an equation for each statement:
:
one number is 8 more than another number.
 a = b + 8
:
 If the larger is divided by the smaller, the quotient is 2 and the remainder is 1.
{{{(a-1)/b}}} = 2
Replace a with (b+8), from the 1st equation
{{{((b+8)-1)/b}}} = 2
{{{((b+7))/b}}} = 2
multiply both sides by b
b + 7 = 2b
7 = 2b - b
b = 7
then
a = 7 + 8
a = 15
:
You can confirm this in the 2nd statemet
/////////////////////////////////////////////////
Solution put into words
When 15 is divided by 7, the quotient is 2, the remainder is 1