Question

is
If the sum of two numbers
is divided by 15, the quotiet
is 2 and the remainder
10 If the difference of the
same member is divided
by 3. then the quotient is 4
and the remainder is 2, fine
the numbers​

Answer 1

Answer:

The numbers are 27 and 13.

Step-by-step explanation:

Let x and y be the two numbers such that x > y.

We know that, dividend = divisor × quotient + remainder.

Now,

x + y = 15 × 2 + 10

=> x + y = 40 --- [1]

Also,

x - y = 3 × 4 + 2

=> x - y = 14 --- [2]

By adding equation [1] and [2], we get:

(x + y) + (x - y) = 40 + 14

=> 2x = 54

=> x = 54/2

Therefore, x = 27

Now here we will find the value of y.

We will substitute the value of x in equation [1].

=> 27 + y = 40

=> y = 40 - 27

Therefore, y = 13

Hope it helps you.

Thank you.