The sum of to numbers 15 and their quotient is 2
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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.
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Given,
Sum of 2 numbers = 15,
The quotient of these 2 numbers = 2.
To find,
The numbers.
Solution,
Firstly, let's suppose the two numbers be x and y.
As it is given that their sum is 15. So,
x + y = 15 ...(1)
Now, the quotient of the two is given as 2. So, by dividing one number by the other, we should get 2. That is,
...(2)
From above equation (2), we can see that,
x = 2y
Substituting this value in equation (1), we get,
2y + y = 15
⇒ 3y = 15
⇒ y = 5.
Since from equation (2),
x = 2y
⇒ x = 2(5)
⇒ x = 10.
Therefore, the two numbers whose sum is 15 and the quotient is 2, are 10 and 5.
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