Question

The ratio of the number of goats in farm x to the number of goats in farm y was 9:4. After 35 goats were transferred from farm x to farm y,there was an equal number of goats in each farm. how many goats were there in each farm at first?
Set up equations to solve for
X=number of goats in farm x,
Y=number of goats in farm y.

"The ratio of the number of goats in farm x to the number of goats in farm y was 9:4." =>
X/Y=9/4 multiply by Y to get:
X=9Y/4.....................(1)

"After 35 goats were transferred from farm x to farm y,there was an equal number of goats in each farm." =>
X-35=Y+35.....................(2)

Substitute (1) in (2) and solve for Y, hence X.

28
This is armpit
He is an alien from another planet. He is My Love From the Star.
The final answer is 28.

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