The difference of two no. is equal to 20% of the larger no. of them . if the smaller no. is 20. what will be the larger number?
Answers
Answer:
The difference of two numbers is 20% of the larger number. If the smaller number is 20,what is the larger number?
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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.
Step-by-step explanation:
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Answer:
Let x be the larger number and y be the smaller number
Therefore x-y=20%of x
x-20=(20÷100)×x
x-20=(1/5)×x
Now the equation will be 5 ×(x-20)=x
5x-100=x
5x-x=100
4x=100
x=100÷4
x=25
Therefore the larger number is 25.