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\left. \begin{array} { l } { \text { If } ( a - b ) : ( a + b ) = 1 : 11 , \text { find the ratio } ( 5 a + 4 b ) } \\ { ( 5 a - 4 b + 3 ) } \end{array} \right. |
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Answer» (a-b)/(a+b)=1/11(a-b+a+b)/(a+b-a+b)=(1+11)/(11-1)=12/10=6/5(5a+4b+15)/(5a-4b+3)=(5×6+4×5+15)/(5×6-4×5+3)=(65)/(13)=5/1=5:1 |
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