Question

Express the following as the sum of two consecutive integers 15square and 19square ​

Answer 1

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i) Let us consider the consecutive positive integers be x,x+1.

According to the problem,

x+(x+1)=15²

or, 2x+1=225

or, 2x=224

or, x=112.

The required integers are 112,113.

ii) Let us consider the consecutive positive integers be x,x+1.

According to the problem,

x+(x+1)=21²

or, 2x+1=441

or, 2x=440

or, x=220.

The required integers are 220,221.