The difference between two numbers is 8. If2 is added to the bigger number the result
will be three times the smaller number. Find the numbers.
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Let the two numbers be xand y, x being the greater one
Then according to the question,
x−y=8 ....(1) and x+12=3y ..(2)
From ..(2),
x=3y−12
Putting this in the ...(1)
3y−12−y=8
2y=12+8=20
y=10
From ...(1)
x−10=8
x=18
Therefore the numbers are 18 and 10
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