Question

a number is divided into two parts such that one part is 10 more than the other if the two part are in the ratio 5: 3. find the number​

Answer 1

Answer:

40

Given:

One part is 10 and other is more than 10 and two part are in ratio 5:3

To find:

The Number

Solution:-

Let the one part be x

Then other part be x+10

Now

According to the question

$\frac{x + 10}{x} = \frac{5}{3}$

$3(x + 10) = 5x$

$3x + 30 = 5x$

$- 2x = - 30$

$x = 15$

So one part=15

and other part=x+10

=15+10

=25

_____________________

The number=15+25

=40

Answer 2

Answer:

$\huge{\pink{\green{\sf{\therefore Number=40}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

• In the given question information given about a number which is divided into two parts such that first number number is 10 more than second number.

• We have to find that Number.

$\underline \bold{Given : } \\ \implies Let \: first\: number = x \\ \implies second \: number = x + 10 \\ \implies Ratio = \frac{5}{3} \\ \\ \underline \bold{To \: Find : } \\ \implies Number = ?$

• According to given question :

$\implies \frac{Second \: number}{First \: number} = \frac{5}{3} \\ \implies \frac{x + 10}{x} = \frac{5}{3} \\ \implies 3x + 30 = 5x \\ \implies 3x - 5x = - 30 \\ \implies - 2x = - 30 \\ \implies x = \frac{ - 30}{ - 2} \\ \bold{\implies x = 15} \\ \\ \bold{First \: number = x = 15} \\ \bold{Second \: number = x + 10 = 25} \\ \\ \bold{\therefore Number = 15 + 25 = 40}$