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If the sum of two numbers is divided by ...

If the sum of two numbers is divided by 13, the quotient is 4 and the remainder is 8. If the difference of the same two numbers is divided by 4, the quotient is 3 and the remainder 2. Find the numbers

Text Solution

Verified by Experts

Let two numbers be x and y
`x+y=13*4+8`
`x+y=60-(1)`
`x-y=4*3+2`
`x-y=14-(2)`
from equation 1 and 2
`2x=74`
`x=37`
...
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