11^n +22^n = 55^n

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Quandaries & Queries

Subject: maths
Name: ankit
Who are you: Student

how to solve ?

11^n +22^n = 55^n

find the value of n?

Ankit,

Since 22 = 2 11 and 55 = 5 11,

11ⁿ + (2 11)ⁿ = (5 11)ⁿ

which reduces to

1 + 2ⁿ = 5ⁿ

Does this help?
Penny

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