Question

sum of the two integers is 88. when the greater interger is
divided by the smaller one, the quotient is 5 and the
remainder is 10 . find the integers.​

Answer 1

Answer:

Let x and y be the two integers (x>y)

x + y = 88...(1)

Dividend= divisor × quotient + remainder

x = y × 5 + 10

x = 5y + 10

x - 5y = 10...(2)

Subtracting (2) by (1) we get

6y = 78

y = 13

Substituting y = 13 in (1) we get

x = 75

Therefore the integers are 13 and 75