Question

3. Find three consecutive numbers that, when added together, equal the sum of the next two
consecutive numbers.

Answer 1

Answer:

let the first no. be x-2 so three consecutive numbers are x-2,x-1,x

and next two consecutives are x+1,x+2

according to the question,

x-2+x-1+x=x+1+x+2

3x-3=2x+3

x=3+3

x=6

so the numbers are 4,5,6

Answer 2

let first no be x

then next consecutive numbers will be x+1 and x+2 .

then according to question next , consecutive no will be x+3 and x+ 4

x+x+1+x+2 =x+3+x+4

3x+3=2x+7

x=4

then next consecutive numbers are 5 and 6 .

hence 4+5+6=7+8

15=15