Answer:
Tema = 26 years
Juma = 13 years
Abdul = 26 years
Step-by-step explanation:
Let their ages be represented as:
Tema = x
Juma = y
Abdul = z
From the question, we are told that:
Juma is twice as old as Abdul
y = 2z
z = y/2
= 0.5y
And Juma is a half times as old as Tema.
y = 1/2x
y = 0.5x
x = y/0.5
x = 2y
Hence,
x + y + z = 65
2y + y + 2y = 65
= 5y = 65
y = 65/5
y = 13 years
Since y = Zuma's age, Zuma is 13 years old
From the above question
Since 2y = z
y = 13
2 × 13 = z
z = 26
Since z = Abdul's age, Abdul is 26 years old
From the above question
x = 2y
y = 13 years
x = 2 × 13 years
x = 26 years.
Since x = Tema's age
Tema is 26 years.
Therefore, their present ages are:
Tema = 26 years
Juma = 13 years
Abdul = 26 years
Answer:
Rs. 42500
Step-by-step explanation:
100% + 25% = 125% ÷100 = 1.25
34000 x 1.25 = 42500
The generic equation of the arithmetic sequence is given by:
![an = a1 + (n-1)d](https://tex.z-dn.net/?f=%20an%20%3D%20a1%20%2B%20%28n-1%29d%20)
Where,
a1: first term of the sequence
n: number of terms
d: common difference between two consecutive terms.
Therefore, substituting values we have:
![an = 130 + (n-1)13](https://tex.z-dn.net/?f=%20an%20%3D%20130%20%2B%20%28n-1%2913%20)
For the term number 13 we have:
![an = 130 + (13-1)13](https://tex.z-dn.net/?f=%20an%20%3D%20130%20%2B%20%2813-1%2913%20)
![a13 = 286](https://tex.z-dn.net/?f=%20a13%20%3D%20286%20)
Answer:
Option B
![an=130 + (n-1)13, 286](https://tex.z-dn.net/?f=%20an%3D130%20%2B%20%28n-1%2913%2C%20286%20)