Mr. Deena got 435 goats and divides those among his three partners namely X, Y, and Z in certain ratio. Out of the total goats received by each of them, X sells 25 goats, Y sella 30 goats and Z sells 40 goats and now thr ratio of goats with them is 19:23:26. How many goats did X receive frok Mr. Deena?
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Answer:
120
Step-by-step explanation:
Given,
total goats are 435
goats sold by X are 25
goats sold by Y are 30
and goats sold by Z are 40
so total goats sold will be 25+30+40=95
then total goats remaining will be 435-95=340
let goats left with X be 19a,left with Y be 23a and left with Z be 26a.
so
total goats remaining will be 19a+23a+26a=68a
and these must be equal to 340.
and these must be equal to 340.therefore
and these must be equal to 340.therefore68a=340
and these must be equal to 340.therefore68a=340a=5
hence no.of goats X had initially=(19×5)+25
=95+25=120
Q.E.D.
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