Question

if 3 3 4 5 is 63 and 8 4 4 3 is 51 what is 9 9 7 5

Answer 1

$Given \: 3 \:3 \:4 \: 5 \: 63 \: and \\\: 8 \:4 \:4 \: 3 \: 51$

$\red { To\:find \: \: 9 \:9 \:7 \: 5 \: ? }$

/* Observe the pattern , we conclude */

$i) 3 \:3 \:4 \: 5 \\= [2(3+3+4+5) - 2^{2} -5]\times 3\\= (2\times 15 - 4 -5)\times 3 \\=( 30 - 9)\times 3 \\= 21\times 3 \\=63$

$ii) 8 \:4\:4 \: 3 \\= [2(8+4+4+3)-4^{2}-5] \times 3\\= (2\times 19-16-5)3\\= (38-21)\times 3\\=17\times 3\\=51$

$iii) 9 \:9\:7 \: 5 \\= [2(9+9+7+5)-6^{2}-5] \times 3\\= (2\times 30 - 36 - 5)\times 3 \\= (60-41)\times 3 \\= 19 \times 3\\ =57$

Therefore.,

$\red {9 \:9 \:7 \: 5 \: is } \green { = 57 }$

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