10. The difference of two numbers is 20. f of the smaller is 14 more than half of
the greater. Find the numbers.​

1 thought on “10. The difference of two numbers is 20. f of the smaller is 14 more than half of<br />the greater. Find the numbers.​”

1. Let x be the larger number and y be the smaller number

   Therefore x-y=20%of x

   Now put the value of smaller number in the equation

   x-20=(20÷100)×x

   x-20=(1/5)×x

   Here 5 is in denominator.

   As we bring 5 on the left side of equation it will be multiplied by x-20

   Now the equation will be 5 ×(x-20)=x

   5x-100=x

   Bring 100 on right side of = and x on the left side of =

   So it will become 5x-x=100

   4x=100

   x=100÷4

   x=25

   Therefore the larger number is 25

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