Question

the difference between two numbers is 18.if their sum is 86 ,what are the numbers.(solve by linear equations in one variable)​

Answer 1

Answer:

Step-by-step explanation:

Let the two numbers by x and y.

As per the question

x - y = 18  

x + y = 86  

From the first equation, x = 18 + y.  

Put this in the second equation to get:  

18 + y + y = 86  

2y = 68  

y = 34  

Now, put this value of y in any of the two equations to get x, which is 52.  

Therefore, x = 52 and y = 34

Answer 2

Answer:

The numbers are 34 and 52.

Step-by-step explanation:

Let's assume that the smaller number is x.

According to the problem, the bigger number is x + 18

Also, according to the problem, x + (x + 18) = 86

=> 2x = 86 - 18 = 68

∴ x = $\frac{68}{2} = 34$

∴ x + 18 = 34 + 18 = 52.