the greatest of 3 numbers is -8 times the smallest , and the remaining number is 10 more than the smallest.Find the the 3 numbers, given that the greastest is 16 times the sum of the others two numbers

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- Dec 10th 2005, 08:36 AMPanaboywords problems
the greatest of 3 numbers is -8 times the smallest , and the remaining number is 10 more than the smallest.Find the the 3 numbers, given that the greastest is 16 times the sum of the others two numbers

- Dec 10th 2005, 11:10 AMticbolQuote:

Originally Posted by**Panaboy**

y = other number

z = greatest number

z= -8(x) -------(i)

y = x +10 -------(ii)

z = 16(x+y) -------(iii)

Substitute the y from (ii) into (iii),

z = 16(x +x+10) = 16(2x +10) = 32x +160 -------(iv)

Substitute the z from (i) into (iv),

-8x = 32x +160

-8x -32x = 160

x = 160/(-40) = -4 -------answer.

So,

y = x+10 = -4+10 = 6 -------answer.

z = -8x = -8(-4) = 32 ---------answer.

Check,

z = 32x +160

32 =? 32(-4) +160

32 =? -128 +160

32 =? 32

Yes, so, OK. - Dec 10th 2005, 01:17 PMPanaboy
thanks a lot