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# https://vle.mathswatch.co.uk/images/questions/question15470.png

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https://vle.mathswatch.co.uk/images/questions/question15470.png

Please help!

Apr 10, 2018
edited by Guest  Apr 10, 2018

### 1+0 Answers

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Not totally sure about this, but.....

If a : b  is  5 : 6  there are 11 equal parts

If b : c  is 8 : 9  there are 17 equal parts

And the common denominator is  11 * 17  = 187

So  a possible value for  b  = (6/11) * 187  =  102

But c  =  (9/8)b  =  102 * 9/8  =  114.75

But c needs to be an integer

So...mutiplying this by 4 will give us the integer 459

So....multiplying b by 4   we get 102 * 4 =  408

And  a  is  (5/6)b  =  (5/6)(408)  =  340

So

a , b , c  =    340, 408, 459

And   a: b   =  340: 408   =  5/6     And  b : c  =  408: 459

So....a + b + c  =     340 + 408 + 459   =   1207   Apr 10, 2018