# Welcome to I Do Maths Blog

26 September 2010, 07:55

To enhance and enrich this site with more mathematics learning materials, we are now adding this blog as part of our website. We hope that this blog will further help our visitors in learning Mathematics and at the same time add more fun in the process. Mathematics problems and useful math tips will be posted here. If you’d like to contribute useful tips and article, please send it to contact@idomaths.com

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## Comment

1. could you tellme a, b numbers, non 0, whole positive numbers only, that solve the folloving, if any? thank you.
10**50a+b=3ab
10 power of 50 times a, plus b = 3 times a b

andres · 25 September 2011, 13:47 · #

2. Hi Andres,

Is this the correct equation?

10^(50a) + b = 3ab

You are providing only 1 equation that consists of two variables (a and b). There are many solutions that will satisfy the above equation.

For example, let’s take a = 1, then

10^50 + b = 3b
10^50 = 3b – b
10^50 = 2b
b = (10^50) / 2
b = 5×10^49

That is one solution, you can continue with a = 2, a = 3, and so on. There are infinitely many pairs of a and b that will satisfy the equation.

Jimmy · 25 September 2011, 16:47 · #

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