Question

The sum of two integer is 88.if greater is divided by smaller the quetioent is 5 and reminder is 10. Finf the integer?

Answer 1

Smaller integer = 13, Greater integer = 75

Explanation:

Let x & y be the greater & smaller integers respectively:

`x+y=88` => eq-1
`x/y=5+10/y` => eq-2
Solve for y in terms of x in eq-1:
`y=88-x`
Substitute for y in eq-2:
`x/(88-x)=5+10/(88-x)`
`x = 5(88-x)+10`
`x+5x=440+10`
`6x=450`
`x=75`
`y=88-75=13`
Check:
`75+13=88`
`75/13=5 10/13`

Answer 2

`75,13`

Explanation:

Let `a and b` be the two integers, and `a>b`,
`=> a+b=88, => a=88-b`
given that if `a/b`, then the quotient is 5 and the remainder is 10,
`=> (a-10)/b=5`,
`=> 88-b-10=5b`,
`=> 78=6b`,
`=> b=78/6=13`
`=> a=88-b=88-13=75`