Math, asked by harshitgiri965, 6 months ago


The sum of two numbers is 8. If their
sum is four times their difference,
then the numbers are *
a. 3 & 4
b. 4 & 5
c. 5 & 3
d. 4 & 6​

Answers

Answered by Uriyella
5
  • Option (c) 5 & 3 is correct.

Given :–

  • The sum of two numbers = 8.
  • Their sum is four times their difference.

To Find :–

  • Both numbers.

Solution :–

Let,

The first number be x.

The second number be y.

Given,

 \mapsto x + y = 8 ––––(1)

According to the question,

Their sum is four times their difference.

\mapsto x  + y = 4(x - y)

We have,

  • x + y = 8.

So,

\mapsto 8 = 4(x - y)

\mapsto \cancel \dfrac{8}{4}  = x - y

\mapsto 2 = x - y

\mapsto x - y = 2 ––––(2)

Now, add both the equation,

\mapsto (x + y) + (x - y) = 8 + 2

\mapsto x + y + x - y = 10

\mapsto x + x + y - y = 10

\mapsto 2x + 0 = 10

\mapsto 2x = 10

\mapsto x =  \cancel\dfrac{10}{2}

\mapsto x = 5

Now,

Substitute the value of x in equation (1),

\mapsto x + y = 8

  • x = 5

\mapsto 5 + y = 8

\mapsto y = 8 - 5

\mapsto y = 3

Hence,

The numbers are 5 and 3.

So, the option (c) 5 & 3 is correct.

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