Question

express the following as the sum of 2 consecutive integers.
1. 21square
2. 13square
3. 11square
19square

Answer 1

1)let the integer be x and the consecutive integer be x+1

x + x+1 = 441

2x+1=441

2x=441-1

2x=440

x=440/2

x=220

so other integer is 220 +1=221

integers are 220 and 221

2)let the integer be x and the consecutive integer be x+1

x + x+1 = 169

2x+1=169

2x=169-1

2x=168

x=168/2

x=84

so other integer is 84 +1=85

integers are 84 and 85

3)let the integer be x and the consecutive integer be x+1

x + x+1 = 121

2x+1=121

2x=121-1

2x=120

x=120/2

x=60

so other integer is 60 +1=61

integers are 60 and 61

4)let the integer be x and the consecutive integer be x+1

x + x+1 = 361

2x+1=361

2x=361-1

2x=360

x=360/2

x=180

so other integer is 180 +1=181

integers are 180 and 181

hope it helps

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