8The sum of 2 consecutive integers is 63. Find the numbers.
9then x+1 = the 2nd integer The sum is 63: x+x+1=63 2x+1=63 2x=63-1 SOLUTION: Let x =be the first integerthen x+1 = the 2nd integerThe sum is 63:x+x+1=632x+1=632x=63-12X=62x=31x+1=32So 31 and 32 are the numbers.Proof: 31+32=63
10The sum of 3 consecutive. odd integers is 75. Find. the The sum of 3 consecutive odd integers is 75. Find the consecutive odd integers.
11SOLUTION: Let x =be the first integer x+2= the 2nd integerx+4= the 3rd integerThe sum is 75.x+x+2+x+4=753x+6=753x=75-63x=69x=23x+2=25x+4=27So the numbers are 23, 25 and 27.Proof: =75