Two natural numbers

Algebra Level 2
  • The sum of two natural numbers is equal to 77.
  • If the first number is multiplied by 8 and the second by 6, then those products are equal.

What is the greatest quotient of these two numbers to 3 decimal places?


The answer is 1.333.

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Let the two natural numbers be a a and b b respectively. Then 8 a = 6 b 8a = 6b ⟹ b a = 8 6 = 4 3 ≈ 1.333 \implies \dfrac ba = \dfrac 86 = \dfrac 43 \approx \boxed{1.333} .

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