Question

The sum of two numbers is 75. If the ratio is 2:3, find the larger number.

a. 20 b. 25 c. 30 d. 45
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Answer 1

Step-by-step explanation:

The sum of two numbers is 75 and their ratio is 3:2, what are the numbers?

Given, the ratio of the two numbers = 3 : 2

Let’s assume that the two numbers are 3x and 2x (where, x is not equal to zero).

Now, according to the problem,

3x + 2x = 75

-> 5x = 75

-> x =15

Therefore,

First number = 3x

= 3 * 15 [since, x =15]

= 45

Second number = 2x

= 2 * 15 [since, x = 15]

= 30

thus larger number is 45..

Answer 2

Here the ratio of two numbers is given to be 2:3

Also, the sum of the two numbers is 75

We have to find the larger number

Let us assume the two numbers be 2x and 3x

Then, 2x + 3x = 75

                5x = 75

                  x = 75/5

                   x = 15

So, the larger number = 3x

                                     = 3 × 15

                                    = 45

Hence, the larger number will be 45