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Let the no.=x x when divided by 7 gives remainder 4,hence 7 is a divisor of x-4, x-4=7k, where k is a natural no. x=7k+4 Similarly x-3 =9m,where m is a integer. or x=9m+3 9m+3=7k+4 9m=7k+4-3=7k+1 \[m=\frac{ 7k+1 }{ 9 }\] smallest value of k when m is a natural no. is =5\[m=\frac{ 7\times5+1 }{ 9 }=\frac{ 36 }{ 9 }=4\] x=7*5+4=39 it gives 2 as remainder when 39 is divided by 37
we get infinite nos. if we take k=5,14,23,32,.......
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