Question

the sum of two numbers is 8.If their sum is four times their difference, find the number​

Answer 1

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Step-by-step explanation:-

The sum of two numbers is 8  

Let the two numbers be x and y assuming x is the greater number  

According to the question,

x + y = 8 ------------ (i)

Their sum is four times their difference  

⇒ x + y = 4(x -y) -------(ii)

⇒ x + y = 4x - 4y  

⇒ 5y = 3x  

⇒ y = 3x/5 --------------(iii)

Substituting the value of y from eq (iii) in eq (i)  

⇒ x + 3x/5 = 8  

⇒ 5x+ 3x = 40  

⇒ 8x = 40  

⇒ x = 5

 

Putting the value of x in eq (iii)

⇒ y = 3 × 5/5  

⇒ y = 3

Hence, the value of x = 5 and y = 3.