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\fdO'^ - Old Forge Coal Mines

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ALGEBRA. 133<br />

y+5-{x-o) = 6. (1)<br />

But if A received 15 from B, A would have x ~\- 5, and B,<br />

y — o, and 3 times his money, or 3 (-r + 5),<br />

more than 4 times B's, or 4 — (jk 5), whence the equation,<br />

3(^ + 5)-4(j-5) = 20.<br />

(2)<br />

Expanding equations (1) and (2),<br />

J + 5 - ;ir + 5 = 6. (3)<br />

3 ;r +15 -4^ +20 = 20. (4)<br />

Transposing and combining,<br />

f — X = — 4. (5)<br />

- 4j + 3.r = - 15. (6)<br />

Multiplying (5) by 4, and adding to (6),<br />

4^ — 4-ir = — 16.<br />

-4:y-\-3x= - 15.<br />

- ;ir = - 31.<br />

.r = 31.<br />

Substituting value of x in (5),<br />

J - 31 = - 4.<br />

J =27.<br />

Hence, x = $31, A's money. ) .<br />

J = $27, B's money. )<br />

(252) {a) x*-Qx = 16.<br />

Completing the square (Art. 597),<br />

^•_6;ir+9 = 16 + 9.<br />

Extracting the square root, x — 3 = ±6.<br />

Transposing, .r = 8, or — 2. Ans,<br />

{6)<br />

;r» - 7-r = 8.<br />

whence, .r = 8, or — 1. Ans.<br />

would be 120

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