Question

There are two numbers One
is 5 more than the other..
Also 5 times the smaller
number is equal to 4 times
the large number. What
are the numbers ?​

Answer 1

Answer:

Small Number = 20

Large number = 25

Step-by-step explanation:

Let the required small number be 'x' and the required large number be 'x+5', as it is given that the large number is 5 more than the small number.

Now looking to the question and reading it carefully, we can easily form an equation and this equation will help us to solve this question,

5 * Small Number = 4 * Large Number

5 * x = 4 * ( x + 5 )

5 * x = 4 * ( x + 5 )

5x = 4x + 20

5x - 4x = 20

x = 20

Now, we have found our answer-

Small number = x = 20

Small number = x = 20Large number = x + 5 = 20 + 5 = 25

Answer 2

Step-by-step explanation:

Let the smaller number be x

and the larger number be y

According to the question

x=5+y................(1)

5x=4y.................(2)

substitute the value of x in (2)

5(5+y)=4y

25+5y=4y

4y-5y=25

-y=25

y=-25...................(3)

substitute the value of y in (1)

x=5-25

x=-20

Therefore the two numbers are -20 and -25