Question

lf the sum of two number is divided by 15 the quatient is 2 and remainder is 10 lf the difference of same number is divided by 3 then the quatient is 4 and remainder is 2 find the number​

Answer 1

Answer:

27,13

Step-by-step explanation:

Let the numbers be x and y.

We know that Dividend = Divisor × Quotient + Remainder

As per the statement, "If the sum of two numbers is divided by 15, the quotient is 2 and the  remainder is 10 , we get x+y=15×2+10=>x+y=40 --- (1)

Also, as the difference of the same numbers is divided by 3

then the quotient is 4 and the remainder is 2, we get x−y=3×4+2=>x−y=14 --- (2)

Adding  equations 1 and 2,  we get 2x=54=>x=27

Substituting

x=27 in the equation (1), we get 27+y=40=>y=13

Thus the numbers are 27,13

Answer 2

(X+y)/15= 40/15
X+y=40
(X-y)/3= 14/3
X-y=14
Adding
2x= 54
X= 27
AndY = 13