Question

A number is divided into two parts such that one part is 15 less than the other. if the two parts are in the 4:5 , find the number and the two parts.​

Answer 1

Answer:

135 = 60 + 75

Step-by-step explanation:

Let one part be x then other part is x+15.

The two numbers are in the ratio of 4:5.

$\frac{x}{x + 15} = \frac{4}{5}$

$5x = 4(x + 15)$

$5x = 4x + 60$

$5x - 4x = 60$

$x = 60$

One part is 60 then other part is 75.

Number = 60 + 75 = 135.

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Answer 2

Step-by-step explanation:

suppose the two parts are x and y .

y - 15 =x ....1

x :y

4:5

suppose it is 4a and 5a add and y.......2

Now, according to 1

5a -15 = 4a

-15 = 4a-5a

-15 = -a

a = 15

x = 4a = 60......... from 2

y = 5a = 75 ........from 2

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