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If m n 13 111 find m2 - n2 m n 2 - JAMB Mathematics 2006 Question

If m:n = 13:111, find m2 - n2 : (m + n)2

A
1:11
B
1:13
C
1:10
D
1:12
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Correct Option: D

m : n = 13 : 11

m2 - n2 = (m - n)2

= 132 - 112 : (13 + 11)2

= 169 - 121 : 242

= 48 : 576

= 1 : 12

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