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In a group of 25, 13 can speak Latin, 15 can speak French,
and 6 don’t speak either. How many of these speak both Latin
and French?

Answers were Sorted based on User's Feedback



In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / dekore

25-6=19
13+15=28
28-19=9
answer is 9

Is This Answer Correct ?    86 Yes 1 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / jig

(A Venn diagram can easily confirm the answer below.)

6 out of 25 don't speak both Latin and French, so only 19 speak EITHER Latin OR French OR both.
25 - 6 = 19.

Of the 19 who speak either or both languages, 13 speak Latin, so 6 speak French but not Latin.
19 - 13 = 6.

Of the 19 who speak either or both languages, 15 speak French, so 4 speak Latin but not French.
19 - 15 = 4.

So out of the 25, we have:
6 who don't speak both Latin and French
6 who speak French but not Latin
4 who speak Latin but not French

Therefore, those who speak both Latin and French are 25 - 6 - 6 - 4 = 9.

Is This Answer Correct ?    52 Yes 0 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / santhosh

there are totaly 25 members , and 6 will not speak either so now 25-6=19 .now only 19 members will speak these two languages .

now 19-13=6 now this 6 members will speak only french.
and 19-15=4 now this 4 members will speak only latin.
hence 6+4=10,is the number who speak only french and latin.
hence 19-10=9 '9' members can speak both .here '9' is the answer.

Is This Answer Correct ?    14 Yes 0 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / jack

Total is 25 but out of them 6 dont speak either.
So, 25-6=19
Out of 19, 15 knows French so definately, 19-15=4 knows
exactly Latin
Out of 19, 13 knows Latin so definately, 19-13=6 knows
exactly French
Now 6+4=10 knows exactly French or Latin.
So, 19-10=9 knows both Latin and French

Easy :):):):)

Is This Answer Correct ?    8 Yes 0 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / g hussain

n(LUF)=U-N(LUF)'
=25-19
n(LUF)=n(L)+n(F)-n(L^F)
19=13+15-n(L^F)
n(L^F)=28-19
n(L^F)=9

Is This Answer Correct ?    7 Yes 0 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / akki_pikki

from formulae n(aUb)=n(a)+n(b)-n(aRUb),so
n(aUb)=25-6=19,n(a)=13,n(b)=15,n(aRUb)=x,so now,19=13+15-x
28-19=9,so answer is 9

Is This Answer Correct ?    0 Yes 0 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / guest

21

Is This Answer Correct ?    0 Yes 2 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / mahesh kumar

7

Is This Answer Correct ?    0 Yes 7 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / seema

3

Is This Answer Correct ?    16 Yes 26 No

In a group of 25, 13 can speak Latin, 15 can speak French, and 6 don’t speak either. How many of ..

Answer / shashikant prasad

Total 25
15 speak French
13 speak Latin
So, 15-13=2
2 speak both language
And
25-(15+13+6)=3
So,
2+3=5
Final ans. is
5 speak both language

Is This Answer Correct ?    2 Yes 22 No

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