Question

Two people x and y have goats.x has more goats than y and if y gives x one of his goats,x will have twice as many goats as y. if x gives one of his goats they will have equal number of goats.how many goats does each have

Answer 1

Answer:

$3 \: and \: 4$

Step-by-step explanation:

Let x have X no. of goats

& y have Y no. of goats .

$\frac{y - 1}{x \:} = \frac{1}{2} \\ 2y - 2 = x \\ \\ x - 2y = - 2(i)$

$\frac{x - 1}{y} = 1 \\ x - y = 1(ii)$

subtracting eq (i) form (ii)

$- y = - 3 \\ y = 3 \\ so \: \\ x = 2 \times 3 - 2 \\ = 6 - 2 \\ = 4$