2. One number is 5 times another. If 18 is subtracted from the greater the remainder will be 3 times the smaller. find the numbers
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Answer:
45 and 9
Step-by-step explanation:
Let the greater number be 'x' and the smaller number be 'y'
According to the question,
x=5y (one number is 5 times another)
and x-18=3y (on subtracting 18 from the larger number we get three times the smaller one)
In the equation : x-18=3y,
in place of 'x' we can just write 5y
Now we have,
5y-18=3y
Now we can solve this as a simple linear equation
5y-3y=18
or, 2y=18
or, y=18/2
or, y=9
As we now know the value of 'y' (the smaller number), we can find out 'x'
x=5y
or, x=5*9
or, x=45
So, the larger number is 45 and the smaller one is 9.
Hope it helped!
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