3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
7 x 13 = 91.......so 91 is not a prime, it is a composite
Answer:
B
Step-by-step explanation:
The number of bushels of apples he picks (B) would be times by 5 as he would earn that much per bushel to get his pay (P)
This sequence is not a geometric.
It is because, common ratio = 6/3 = 2
9/6 = 1.5
As the ratio's are not same, it is not a G.P
Hope this helps!
Answer:

Step-by-step explanation:
The natural logarithm function is the inverse of the natural exponential function.

are equivalent.