An arithmetic sequence is a sequence of numbers a1, a2, a3,... where an - an-1 has the same value for every n. For example, 2, 4, 6, 8, 10,....is such a sequence where the difference between any 2 consecutive numbers is 2. Given, a, b, c, d, and e are consecutive numbers in such a sequence and a + b + c + d + e = 80. What is the value of c?
Homoud, Nora, Vincent, and Zoeyy all celebrated their birthdays today. Homoud is 5 years older than Nora, Nora is 6 years younger than Vincent, and Zoeyy is 7 years older than Homoud. Which of the following could be the combined age of all of them today?
A dog takes 4 rounds of the field shown in the picture.
The number expression given below shows the distance covered by the dog. 4 × P = Q m = R km Find the value of P, Q and R where P is the perimeter of the field, Q is the total distance traveled by the dog in meters and R is the total distance traveled by the dog in kilometers.
A shopkeeper mixes two variants of wheat in the ratio 2:3. The first variant costs 25 per kg, while the other costs 20 per kg. If the mixed wheat is sold at the price of 18.7 per kg then find the profit/loss percent incurred by shopkeeper.