Question

Two newspapers, Graphic and Times are

delivered to 40 houses in Adenta. Each
house receives at least one copy of a
newspaper. In all, 26 copies of Graphic
and 24 copies of Times are delivered
Find the number of houses which receive
Times only​

Answer 1

To find the number of houses that receive Times newspaper only, subtract the number of houses that receive both newspapers from the total number of houses that receive Times newspaper.

Step-by-step explanation:

To find the number of houses that receive Times newspaper only, we need to subtract the number of houses that receive both newspapers from the total number of houses that receive Times newspaper.

Given that 26 copies of Graphic newspaper and 24 copies of Times newspaper are delivered, we can say that the number of houses that receive both newspapers will be equal to the greatest common divisor (GCD) of 26 and 24.

The GCD of 26 and 24 is 2. Therefore, 2 houses receive both newspapers. Since each house receives at least one copy of a newspaper, the remaining houses that receive Times newspaper only will be 24 - 2 = 22 houses.

Answer 2

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