If a and b are two non-zero numbers and if 69(a+b) = (69+a)b, then which of the following must be true?

If a and b are two non-zero numbers and if 69(a+b) = (69+a)b, then which of the following must be true?

Explanation

69(a+b) = 69a+69b (by descriptive law)

(69+a)b = 69b+ ab

then,

69a+69b = 69b + ab

69a = ab

b = 69 (dividing both sides by a)

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 ND1-1-2023