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Answers to junior high school math books
7. There are a flock of pigeons and some pigeon cages. If there are six pigeons in each dovecote, there will be no dovecote for the remaining three pigeons. If five more pigeons fly in, plus the original pigeons, there will be only eight pigeons in each dovecote. How many pigeons and pigeon cages are there?

Solution: Set the original X pigeon coop.

6x+3+5=8x

6x-8x=-3-5

-2x=-8

x=4

6x+3=27

A ***4 pigeon coops, 27 pigeons.

8. The sum of the ages of father and daughter is 9 1. When the father is twice as old as the daughter, the daughter is one-third as old as the father. Ask the daughter's age.

Solution: If the daughter's age is X, then the father's age is (9 1-x).

Years later, my father was 2x, and now he is 2x-(9 1-x) years old.

x+[2x-(9 1-x)]= 1/3(9 1-x)

x=28

I hope the topic is the same as yours.