Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?

1 answer:

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Answer = 12

Explanation:
Let x be Timothy’s present age.
The, Adele’s present age = x+5

After 3 years, Timothy’s age = x+3
Adele’s age = x+5+3 = x+8

According to the question, we have

x + 3 = 2/3 (x+8)

3(x + 3) = 2x + 16

3x + 9 = 2x + 16

3x - 2x = 19 - 9

x = 7

Therefore, Timothy’s current age is 7 years and Adele’s current age is 12 years

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Suppose you have 18 objects (10 of type A, 5 of type B, and 3 of type C). Objects of type A are indistinguishable from each othe

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Answer:

$\binom{18}{5}= 8568$

Step-by-step explanation:

Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.

Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient $\binom{n}{k})$ .