the product of a number and 8 less than the number is 65 what are the numbers
Let first number = a
Second number = b = a - 8
According to question :
a * (a - 8) = 65
a2 - 8a = 65
a2 - 8a - 65 = 0
a2 - 13a + 5a - 65 = 0
a (a - 13) + 5 (a - 13) = 0
( a - 13) (a + 5) = 0
a = 13 & a = -5
Does equation is satisfied by :
(i) a = 13
b = 13 - 8 = 5
13 * 5 = 65
Yes.
So, first number is 13 & second number is 5.
...............Hope it will work
Second number = b = a - 8
According to question :
a * (a - 8) = 65
a2 - 8a = 65
a2 - 8a - 65 = 0
a2 - 13a + 5a - 65 = 0
a (a - 13) + 5 (a - 13) = 0
( a - 13) (a + 5) = 0
a = 13 & a = -5
Does equation is satisfied by :
(i) a = 13
b = 13 - 8 = 5
13 * 5 = 65
Yes.
So, first number is 13 & second number is 5.
...............Hope it will work