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Chapter 2: Q51. (page 117)

In the figure, x:y=2:3and y:z=3:5If x=10 find the value of z.

A 15

B 20

C 25

D 30

Short Answer

Expert verified

The value of z is 25.

Step by step solution

01

Step 1. Understanding the concept of ratio.

A ratio is a number, which expresses one quantity as a fraction of the other.

For example, a ratio of 3 to 4 is 3:4or 34.

02

Step 2. Simplifying the given equation.

Ratios given are:

x:y=2:3鈬�xy=23y:z=3:5鈬�yz=35

03

Step 3. Solve the equations.

It is also given that x=10, plugging this value in the first equation we get:

x:y=2:3鈬�xy=23鈬�10y=23鈬�10脳3=2脳yy=10脳32y=15

Plugging this value of y into the second equation we get,

y:z=3:5鈬�15z=35鈬�15脳5=3脳z鈬�z=15脳53z=25

Thus the answer is z=25.

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