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

Answer»

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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