Question

1.Using only addition, add eight 8s to get the number 1,000.
2.In reply to an inquiry about the animals on his farm, the farmer says: “I only ever keep sheep, goats, and horses. In fact, at the moment they are all sheep bar three, all goats bar four, and all horses bar five.” How many does he have of each animal?
3One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.” How old are they each now?

Answer 1

Answer:

1.

8 8 8

8 8

8

8

+ 8

______

1 0 0 0

.

2. he had 3 sheeps, 4 goats and 5 horses

.

3.

let the age of younger brother be y

and the age of older brother be x

2 yrs ago

.age of older brother : 2-x=3y (eq 1)

after 3 yrs

.age of older brother : 3+x=2y (eq 2)

A.T.Q

by 2nd eq : x = 2y - 3

by the value of x from eq 2

2 - (2y - 3) = 3y

4y - 6 = 3y

-6 = 3y - 4y

-6 = - y

y = 6

.

.

older brother age = 6

younger brother age : 3 + x = 2 (6)

3 + x = 12

x = 12 -3

x = 9

Step-by-step explanation:

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