the difference between 2 numbers is 642. when the greater number is divided by the smaller number the quotient is 8 and the remain

the difference between 2 numbers is 642. when the greater number is divided by the smaller number the quotient is 8 and the remainder is 19 find the number

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  1. Answer:

    1. x-y=642
    2. x=8y+19
    3. substituting 2 in 1
    4. 8y+19-y=642
    5. 7y=642-19
    6. 7y=623
    7. y=89
    8. substitute 7 in 2
    9. x=8×(89)+19
    10. x=712+19
    11. x=731
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