Divide 282 into two parts such that the eighth part of the first and the fifth part of the second are in the ratio 4:3
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Let the two parts be and 282-x Therefore by the problem, 1/8x:1/5(282-x)=4:3 3x/32 * 5x/(282-x) 15x/32 282-32x 15x=32 282-32x 15x+32x=32 282 47x=32 282 Therefore, x=32*6 =»192 Therefore, (282-x)=282-192 =» 90