The sum of two numbers is 54. if 60 is added to the smaller number, the sum will be twice the greater number. Find the numbers
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ANSWER IS 16 AND 38.
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Suppose two numbers are X (big) and Y (small)
Then X + Y = 54...1)
If 60 added to smaller number then
X + (Y+60) = 2X
So, X - Y = 60....2)
Now solving eq 1) and 2)
2X = 114
X = 57
Put value of X into eq 1)
We get Y = - 3
So, big value is 57 and small value is - 3.
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