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
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