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secondary 2 | Maths
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Pls help to answer this Sec 2 Math Olympiad question. Thanks.
Date Posted: 2 years ago
Views: 565
Compare the first two lines and you'll realise :
A + 1 = D
Compare the fourth and fifth lines and you'll realise :
D + 1 = G
So, A + 2 = G and therefore A = G - 2
Compare the fifth and sixth lines and you'll realise :
E + 1 = H , therefore E = H - 1
Hence, A + E + I
= G - 2 + H - 1 + I
= G + H + I - 3
= 7 - 3
= 4
Alternatively,
Comparing the second and third lines,
B + 1 = E
Comparing the third and fourth lines,
C + 1 = F
Comparing the sixth and seventh lines,
F + 1 = I
So, I = C + 2
Therefore, A + E + I
= A + B + 1 + C + 2
= A + B + C + 3
= 1 + 3
= 4
A + 1 = D
Compare the fourth and fifth lines and you'll realise :
D + 1 = G
So, A + 2 = G and therefore A = G - 2
Compare the fifth and sixth lines and you'll realise :
E + 1 = H , therefore E = H - 1
Hence, A + E + I
= G - 2 + H - 1 + I
= G + H + I - 3
= 7 - 3
= 4
Alternatively,
Comparing the second and third lines,
B + 1 = E
Comparing the third and fourth lines,
C + 1 = F
Comparing the sixth and seventh lines,
F + 1 = I
So, I = C + 2
Therefore, A + E + I
= A + B + 1 + C + 2
= A + B + C + 3
= 1 + 3
= 4
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Date Posted:
2 years ago
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