Math, asked by jyothimuthyala49, 4 months ago

A number is divided into two parts such that one part is 15more than the other if the two parts are in the ratio 7:4find the number​

Answers

Answered by Anonymous
8

Answer:

The numbers are 35 and 20.

Step-by-step explanation:

Given:

Ratio of the numbers = 7:4

Value by which one number is greater by the other number = 15

Asked:

Value of the numbers

Solution:

Let the common multiple be 'x',

Then the numbers be become 7x and 4x,

Equation Formed:

7x = 4x + 15

7x - 4x = 15

3x = 15

x = \frac{15}{3}

x = 5

So, the numbers are:

7x = 7 × 5 = 35

4x = 4 × 5 = 20

Verification:

35 - 20 = 15

One number is greater than other number by 15. Hence the answer is exactly correct!

One more way to solve this problem:

Equation can also be formed as:

7x - 15 = 4x

-15 = 4x - 7x

-15 = -3x

15 = 3x [(-15) × (-1) = (-3x) × (-1)]

x = \frac{15}{3}

x = 15

Therefore, in both cases the answer is same. So you can also solve by this method.

Hope it helps!

Answered by Anonymous
1

Answer:

Above answer is correct

Mark above answer brainliest

Hope this will help you

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