From the picture above, if A + B = 8 (horizontally) and A + C = 13. Using other information that can be deducted from the picture, what is the value for A, B, C and D?
A + B = 8 (eqn i) C - D = 6 (eqn ii) A + C = 13 (eqn iii) B + D = 8 (eqn iv)
From eqn i: B = 8 - A (eqn v)
From eqn iii: A = 13 - C (eqn vi)
Put eqn vi into eqn v: B = 8 - 13 + C B = -5 + C B = C - 5 (eqn vii)
From eqn ii: C = 6 + D (eqn viii)
Put eqn viii into eqn vii: B = 6 + D - 5 B = 6 - 5 + D B = 1 + D (eqn ix)
From eqn iv: D = 8 - B (eqn x)
Put eqn x into ix: B = 1 + 8 - B B + B = 1 + 8 2B = 9 B = 9 ÷ 2 B = 4.5
From the picture above, if A + B = 8 (horizontally) and A + C = 13. Using other information that can be deducted from the picture, what is the value for A, B, C and D?
A + B = 8 (eqn i) C - D = 6 (eqn ii) A + C = 13 (eqn iii) B + D = 8 (eqn iv)
From eqn i: B = 8 - A (eqn v)
From eqn iii: A = 13 - C (eqn vi)
Put eqn vi into eqn v: B = 8 - 13 + C B = -5 + C B = C - 5 (eqn vii)
From eqn ii: C = 6 + D (eqn viii)
Put eqn viii into eqn vii: B = 6 + D - 5 B = 6 - 5 + D B = 1 + D (eqn ix)
From eqn iv: D = 8 - B (eqn x)
Put eqn x into ix: B = 1 + 8 - B B + B = 1 + 8 2B = 9 B = 9 ÷ 2 B = 4.5
From eqn x: D = 8 - 4.5 D = 3.5
From eqn viii: C = 6 + 3.5 C = 9.5
From eqn vi: A = 13 - 9.5 A = 3.5
Answer: A = 3.5, B = 4.5, C = 9.5, D = 3.5
BY Riddles Repository - Answers
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The lead from Wall Street offers little clarity as the major averages opened lower on Friday and then bounced back and forth across the unchanged line, finally finishing mixed and little changed.The Dow added 33.18 points or 0.10 percent to finish at 34,798.00, while the NASDAQ eased 4.54 points or 0.03 percent to close at 15,047.70 and the S&P 500 rose 6.50 points or 0.15 percent to end at 4,455.48. For the week, the Dow rose 0.6 percent, the NASDAQ added 0.1 percent and the S&P gained 0.5 percent.The lackluster performance on Wall Street came on uncertainty about the outlook for the markets following recent volatility.
Traders also expressed uncertainty about the situation with China Evergrande, as the indebted property company has not provided clarification about a key interest payment.In economic news, the Commerce Department reported an unexpected increase in U.S. new home sales in August.Crude oil prices climbed Friday and front-month WTI oil futures contracts saw gains for a fifth straight week amid tighter supplies. West Texas Intermediate Crude oil futures for November rose $0.68 or 0.9 percent at 73.98 a barrel. WTI Crude futures gained 2.8 percent for the week.
