Question

Express 25² as sum of two consecutive integers.​

Answer 1

Answer:

☞ 25² = 625

Given,

☞ Sum of two consecutive numbers x & y is 625.

To find,

☞ x & y

☞ Consecutive numbers differ by 1, in the sense, x+x+1 = 625

☞ therefore, 2x + 1 = 625.

☞ 2x = 625 – 1

☞ 2x = 624

☞ x = 624/2

☞ x = 312

☞ x + 1 = 313

☞ therefore, the two consecutive numbers are 312 & 313.

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