The present ages of vijay and gautam are in ratio 2: 3. five years hence, their ages will be in the ratio 3: 4. find their present ages

Vijay present age: a

Gautam present age : b

2/3=a/b

3a = 2b

3/4 = (a+5)/(b+5)

4a+20 = 3b +15

(3a - 2b =0) x 39a - 6b = 0

(4a - 3b = -5) x 2 8a - 6b = -10

9a - 6b - 8a + 6b = 10

a = 10

3(10) - 2b =0

-2b = -30

b = 15

So

Vijay present age = 10

Gautam present age = 15

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,