Answered

IDNStudy.com, ang iyong mapagkukunan para sa mga sagot ng eksperto at komunidad. Magtanong at makatanggap ng maaasahang sagot mula sa aming dedikadong komunidad ng mga eksperto.

if the larger of two integers whose sum is 85 is divided by the smaller, the quotient is 7 and the remainder is 5. what are the two numbers?

Sagot :

If the larger(x) of two integers(x and y) whose sum is 85,
     x+y=85 or x=85-y
is divided by the smaller(y),
     *the larger(x) divided by the smaller(y)
                     x
                     -
                     y
the quotients is 7 and the remainder is 5.
                     x
                     -    =   7+5/y
                     y
     *substitute x=85-y
(85-y)
--------   =  7+5/y
    y
     *to remove the denominators(y), multiply (y) on both sides
(85-y)
--------   (y) =  7(y)+5/y (y)
    y
85-y=7y+5
-5+85=7y+y
80=8y
---------
    8
y=10
     *now that you have (y=10) substitute (y) to the first equation,
x+y=85
x+(10)=85
x=85-10
x=75
What are the two numbers?
x=75    &     y=10