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Consecutive Number Problems

Consecutive Number Problems. If the numbers are consecutive use: 1 st number = x 2 nd number = x + 1 3 rd number = x + 2 etc. Example 1. The sum of three consecutive integers is 66. What are the three integers?. 1 st 21 2 nd 22 3 rd 23. Example 2.

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Consecutive Number Problems

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  1. Consecutive Number Problems • If the numbers are consecutive use: • 1st number = x • 2ndnumber = x + 1 • 3rdnumber = x + 2 • etc

  2. Example 1 • The sum of three consecutive integers is 66. What are the three integers? 1st 21 2nd 22 3rd 23

  3. Example 2 • The sum of 3 consecutive even numbers add up to 1002. Find the three numbers. 1st 332 2nd 334 3rd 336

  4. Example 3 • The sum of 4 consecutive numbers add up to 4810. Find the four numbers. 1st 1201 2nd 1202 3rd 1203 4th 1204

  5. Consecutive Number Problems • If the numbers are consecutive ODD or EVEN: • 1stnumber = x • 2ndnumber = x + 2 • 3rdnumber = x + 4 • etc

  6. Example 1 • The sum of two consecutive even integers is 62. What are the two integers? 1st 30 2nd 32

  7. Example 2 • The sum of three consecutive odd integers is 51. What are the three integers? 1st 15 2nd 17 3rd 19

  8. OTHER WORD PROBLEMS • You and 3 friends divide the proceeds of a garage sale equally. The garage sale earned $412. How much money did you receive? $103 each

  9. OTHER WORD PROBLEMS • On a test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lowest grade. Lowest grade 46

  10. OTHER WORD PROBLEMS • The width of a rectangle is 8 inches more than the length. Find the dimensions of the rectangle. Length: 4 Width:12

  11. OTHER WORD PROBLEMS • Five times the sum of a number and two is thirty-five. Find the number. 5(x+2)=35 X=5

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