The sum of the digits of a certain two-digit number is 6. when you reverse its digits you decrease the number by 18. what is the number?

Number is 42.======let x be the digit in the ones placelet y be the digit in the tens place."sum of the digits of a certain two-digit number is 6"    "reverse its digits you decrease the number by 18"if the original number is  (x is ones place; y is in tens place), then the number with reversed digits is  that number with reversed digits, , is 18 less than the original number, .    can clean this equation up by moving variables to one side.    now we have a system of equations    we can solve this system of equations to find the values of x and y.we can do this by elimination. if we multiply equation (i) by 9, we get    if we add these two equations, we will eliminate y. then we can solve for xadding equations (i) and (ii) gets us    use this x-value of 2 with the equation    to get the value of y    remember: x is the digit in the ones place. this is 2.y is the digit in the tens place. this is 4so the number is 42.