The difference of two numbers is nine the larger number is one more than find the larger number

Question:

The difference of two numbers is nine if the larger number is one more than twice the smaller number find a larger number

The larger number is 17

Solution:

Let the smaller number be "a"

Let the larger number be "b"

The difference of two numbers is nine

Therefore,

b - a = 9 eqn 1

larger number is one more than twice the smaller number

Therefore,

b = 1 + 2a eqn 2

Substitute eqn 2 in eqn 1

1 + 2a - a = 9

Substitute a = 8 in eqn 1

b - 8 = 9

b = 9 + 8

Thus the larger number is 17

i really dont know

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.