The sum of two positive numbers is 55 times their difference. What is the ratio of the larger number to the smaller number?

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(1) Answers

arie

let the numbers be a and b. a is the larger of the two numbers.
Sum = 55* Difference
a + b = 55(a - b)
a + b = 55a - 55b
a - 55a = -55b - b
-54a = -56b
a/b = -56/-54 (From cross multiplication)
a/b = 56/54 simplify out by 2.
a/b = 28/27
Therefore the ratio of larger to smaller number = 28/27