Question 1044358
y = the larger number
x = the smaller
:
Write an equation for each phrase
:
 One number is less than twice the other number.
y < 2x
if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2.
{{{((y-2))/x}}} = 1 
therefore
y - 2 = x
y = x + 2
:
replace y in the 1st equation
x + 2 < 2x
2 < 2x - x
2 < x
Assume x = 3, then y = 5
:
Check this in the statement
" if the larger number is divided by the smaller number, the quotient is 1 and the remainder is 2."
{{{5/3}}} = 1 remainder 2