the difference between two numbers is 10. if 5 is added to bigger number the result will be four time the smaller number. find the numbers
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Let the number be x
Four times of the number 4x. On addition of 10 it will be 4x + 10
The result is five less then 5 times of the number, will be 5x - 5
4x + 10 = 5x - 5
4x - 5x = - 5 - 10
-x = - 15
x = 15
The number is 15
Answer the number is 15
Now checking the correctness of answer by putting the value of x in the equation
4x + 10 = 5x - 5
4 × 15 + 10 = 5 × 15 - 5
60 + 10 = 75 - 5
70 = 70
Means number 15 is correct
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