Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. five times the sum of the digits of a two-digit number is 13 less than the original number. if you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number. (hint: you can use variables to represent the digits of a number. if a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. reversing the order of the digits will change their place value and the reversed number will 10y + x.) the difference of the original two-digit number and the number with reversed digits is

Let the number be = 10x+y

Let the reverse number be = 10y+x

Equations are:

Solving and rearranging we get

  .... (1)

    ...... (2)

Multiplying equation (1) by 3 and equation (2) by 5 to get same x

  .... (3)

  .... (4)

Adding (3) and (4), we get

Solving for x,

Now, x=9 and y=8

So number is 10x+y

= 10(9)+8 =90+8= 98

And reverse number is 89.

So difference of the original and reverse digits is = 98-89= 9

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.