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galben [10]
3 years ago
10

Two newspapers, Graphic and Times are

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

The number of houses that receive Times only is 14

Step-by-step explanation:

As shown in the diagram, let:

U=[the total number of houses]

\implies n(U)=40

G =[the houses that receive Graphic]

\implies  n(G)=26

T=[the houses that receive Times]

\implies  n(T)=24

x=[the houses that receive both Graphic and Times]

Let solve for x

From the diagram we can write,

n(U)=n(G)-x+x+n(T)-x

This implies that,

40=26-x+x+24-x

40=50-x

x=50-40

x=10

Also, from the diagram the region that denotes Times only is 24-x

Substituting the value for x, we obtain

24-10=14

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