Question

Reason:

A table tennis team won 21 games and lost 12 games, what is the reason between wins and losses?

B.Maria and Karla are sisters. The ratio of their ages is 4: 7. If both ages add 33 years, how old is Karla?

Answer 1

Answer A

The total number of games played by the team is 21(games won by the team) + 12 (games lost by the team) = 33.

Now the match consists of odd number of games i.e., 3 or 5 or 7. From the total of games played by the team, it looks like the match consisted of either 11 or 3. Generally, the match consists of 3 games, So, out of 33 games, if the team won 21 games, then it is understood it lost 12 matches. The reason being if all the 11 matches it has played are knock out matches then it won the first 10 matches 2-1 (won-2, lost-1) that makes the total won -20 and lost-10, In the last match, it lost 1-2 (won-1, lost -2) making the total of winning -21 and losing -12.

Alternatively, it could have won at the most one game in the first 10 matches by 3-0 (making the tally of won -21 and lost -9 before the 11th match, in which it lost by 0-3).

Answer B:

Ratio of ages of Maria and Karla is 4:7.

So, if the age of Maria is 4a, then the age of Karla is 7a .......you can multiply any constant or variable to the ratio and it does not change.

Also, both their ages add to 33.

Therefore, 4a + 7a = 33,

or, 11a=33

or, a = 3

Now, Karla's age is 7a = 7*3 = 21.