A) 18
B) 52
C) 175
D) 50
Correct Answer: D
Solution :
Let the two numbers are x and y. According to the question. \[\frac{x}{y}=\frac{5}{7}7x=5y\] \[7x-5y=0\] ...(i) Again, \[\frac{x-40}{y-40}=\frac{17}{27}\] \[\Rightarrow \] \[27x-1080=17y-680\] \[\Rightarrow \] \[27x-17y=1080-680\] \[\Rightarrow \] \[27x-17y=400\] ?(ii) From Eq. (i) \[x\,\,17-\]Eq. (ii)\[x,5\] we get \[\therefore \] \[x=125\] Putting the value of x in Eq. (i), we get \[7\times 125=5y\] \[\therefore \] \[\frac{7\times 125}{5}=175\] \[\therefore \]Difference of the numbers\[=175-125=50\]You need to login to perform this action.
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