the sum of two integer is -296.If one the product of -11and-10, what is the quotient
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Asked on December 27, 2019 by
Brijraj Motwani
If the sum of two numbers is divided by 15, the quotient is 2 and the remainder is 10. If the difference of the same numbers is divided by 3 then the quotient is 4 and the remainder is 2. Find the numbers.
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ANSWER
Let x and y be the two numbers such that x>y.
We know that,
Dividend = Divisor × Quotient + Remainder
Now, according to the question,
x+y=15×2+10
⇒x+y=40.....(1)
Also,
x−y=3×4+2
⇒x−y=14.....(2)
Adding equation (1)&(2), we have
(x+y)+(x−y)=40+14
⇒2x=54
⇒x=
2
54
=27
Substituting the value of x in equation (1), we have
27+y=40
⇒y=40−27=13
Hence, the two numbers are 27 and 13.
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