The sum of two numbers is 57. the larger number is 17 more than the smaller number. what are the numbers?

  20, 37

Step-by-step explanation:

You can usually work these "sum and difference" problems in your head.

One of the numbers is half the sum of those given; the other is half their difference.

Here, the smaller number is (57 -17)/2 = 20; the larger is 20+17 = 37.

The two numbers are 20 and 37.

Let a and b represent the numbers, and let s and d represent their sum and difference. The two equations you can write are ...

  a + b = s

  a - b = d

Adding these two equations gives ...

  (a +b) +(a -b) = (s) +(d)

  2a = s+d

  a = (s+d)/2 . . . . . . half the sum of the given numbers

Subtracting the second equation from the first gives ...

  (a +b) -(a -b) = (s) -(d)

  2b = s-d

  b = (s-d)/2 . . . . . . half the difference of the given numbers

answer: 370

step-by-step explanation:

remember use pemdas! there are no parentheses or exponents so lets move onto the first part of the equation: multiplication and division. first, lets break the first part of the equation up into something easier using the distributive property. 28 * 12= (20 *12) + (8*12) you know that 20*12 is 240 and 8*12 is 96. add them and you get 336. then, lets solve the last part of the equation (the last part of pemdas is addition and subtraction). 336 plus 34 is 370. hope this !

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step-by-step explanation: