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5. A number is divided into two parts such that one part is 'n' more than the other. If the two
parts are in the ratio p:q, find the number and the two parts, if
(a) n=6, p:q ::6:5
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let the number be x
let the first part be y
and other part be y+n
ratio p/q=6/5
y/y+6=6/5(y/y+n=p/q)
5y=6y+36
5y-6y=36
y=-36
since y and y+n are two parts of x
•. x=y+y+n(n=6)
x=-36+(-36+6)
x=-36-30
x=-66
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