Question

The sum of three numbers is 350. If the ratio of the first to the second is 23, and that of the second to
the third is 45, then what is the second number​

Answer 1

Answer:

it is your answer.....

Explanation:

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Answer 2

Given :

The sum of three numbers is 350.

The ratio of the first to the second is 2:3

The ratio of the second to the third is 4:5

To find: The second number​ = Y

Solution:

Let the first number be X, the second number be Y, and the third number be Z.

From the given data, sum of the three numbers is given 350.

Therefore, X + Y + Z = 350

And the ratios are also given as-

X:Y = 2:3

Y:Z = 4:5

Mulitplying X:Y by 4 and Y:Z by 3, we get,

X:Y = 8:12

Y:Z = 12:15

Thus, X : Y : Z = 8 : 12 : 15

Now, let the values of X, Y, Z = 8x, 12x, and 15x respectively. (The values are equated to the times of their respective ratios)

Sum of the three numbers is 350 (given)

Thus, 8x + 12x + 15x = 350

35x =350

x =10

Putting value of x obtianed in the equation of Y, we get,

Y = 12x = 12 * 10 = 120

Answer: The second number is Y = 120