# math

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On a number line, the coordinate of A is -18 and that of B is 18. C is a point on AB such that AC:CB = 4:5. What is the coordinate of C?

with solution pls... tnx...

• math -

Did you make a sketch showing C somewhere between A and B ?
Mark the position of C with x
then AC =x-(-18) = x+18
and CB = 18-x

then (x+18)/(18-x) = 4/5
cross-multiply
5x + 90 = 72 - 4x
9x = -18
x = -2

so C is at -2

check by counting.

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