Question

The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?​

Answer 1

Step-by-step explanation:

Since X : Y = 1 : 2, X = 0.5Y.

Since Y : Z = 2 : 5, Z = 2.5Y.

We have X + Y + Z = 4Y = 40. Hence Y = 10.

Answer 2

$y=10$

Ratio:

• A ratio in mathematics shows how many times one number is contained in another.
• For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3).
• The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4)  (or 4:7).
• A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc.
• Both numbers must be positive in most situations.

Solution -

Given -

$x+y+z=40\\x:y=1:2\\y:x=2:5$

To find - $y$

Since,

$x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10$

Therefore, $y=10$.

Know more about the Ratios here:

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