Question

the sum of two positive numbers is 25. Five times of the smaller number is 5 more than three times of the larger number​

Answer 1

Answer:10, 15

Step-by-step explanation:

Suppose the larger number is "x" & the smaller number is "y"

Then, x+y = 25

Now, as per question five times of smaller number is five more than three times of larger number

So,5y - 5 = 3x

Or (5y - 5) /3 = x

Putting value of x in the equation 1 ( x + y = 25)

We get,

(5y - 5) /3 + y = 25

5y - 5 + 3y = 75

8y = 75 +5

8y = 80

Y = 10

So

x = 25 - y

x = 25 - 10

x = 15

Answer 2

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Given :-

• The sum of two positive numbers is 25.
• Five times of the smaller number is 5 more than three times of the larger number

To find :-

• The numbers

Solution :-

Let the greater number be x

Let the smaller number be y

As per the question :-

First section :-

=> x + y = 25 ----> 1

Second section :-

=> 5y = 3x + 5

=> 3x + 5 = 5y

=> 3x - 5y = - 5 ---> 2

Multiply equation 1 by 3,

=> 3x + 3y = 75 ----> 3

Now solve equations 2 and 3 simultaneously by elimination method.

Subtracting equation 3 from equation 2,

....+ 3x + 3y = 75

- ( + 3x - 5y = - 5)

---------------------------

=> 8y = 80

=> y = $\bf\large\frac{80}{8}$

=> y = 10

Substitute y = 10 in equation 3,

=> 3x + 3y = 75

=> 3x + 30 = 75

=> 3x = 75 - 30

=> 3x = 45

=> x = $\bf\large\frac{45}{3}$

=> x = 15

•°• Greater number = x = 15

Smaller number = y = 10