Question

divide 54 into two parts such that one part is 2/7 of the other

Answer 1

Heya !!!


Let one part be X.



Other part = ( 2/7) of X = 2X/7




Therefore,





2X/7 + X = 54




2X + 7X = 54 × 7




9X = 54 × 7



X = 54 × 7/9



X = 6 × 7


X = 42




One part = X = 42


Other part = 2/7 × X = 2/7 ×42 = 2 × 6 = 12



Hence,


Required ratio is 42:12.


★ HOPE IT WILL HELP YOU ★

Answer 2

Let parts are x and (54 - x),


According to the question :




$x = \frac{2}{7} \: \: of \: \: (54 - x) \\ \\ \\ => x = \frac{2}{7} \times (54 - x) \\ \\ => 7x = 2(54 - x) \\ \\ => 7x = 108 - 2x \\ \\ => 7x + 2x = 108 \\ \\ => 9x = 108 \\ \\ => x = \frac{108}{9} \\ \\ => x = 12$




Hence, parts are ;

x = 12
54 - x = 54 - 12 = 42