Question-206045

Question Number 206045 by mr W last updated on 05/Apr/24

Commented by mr W last updated on 05/Apr/24

a s p e c i a l c a s e o f Q 206053

Answered by HeferH24 last updated on 05/Apr/24

A + E = F + B \dots (+)

F + D = E + C

(F + E = 21)

A + D = B + C

A + 9 + x + D = E + F + C + B

9 + x = 21

x = 12

Commented by HeferH24 last updated on 05/Apr/24

Commented by mr W last updated on 05/Apr/24

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Answered by A5T last updated on 07/Apr/24

9 + [B G E] + x + [H F D] = 21 + [A G F] + [E H C] . . (i)

9 + [A G F] + x + [H E C] = 21 + [B G E] + [H F D] . . (i i)

(i) - (i i) : [B G E] - [A G F] + [H F D] - [H E C]

= [A G F] - [B G E] + [E H C] - [H F D]

\Rightarrow [B G E] + [H F D] = [A G F] + [H E C] i n t o (i)

\Rightarrow 9 + x = 21 \Rightarrow x = 12

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