Question

Devanghn”s age is three times Sydney’s age. The sim of their ages is 52. What is Sydney’s age?Solve using linear equation

Answer 1

Step-by-step explanation

Assuming that the age of Sydney is x and the age of Devanghn is y, we can apply the following relationship:

(1) 52 + x = y

(2) 3x = y

Now, we have a system of equations:

Plugging in y=3x into (1):

52 + x = 3x

Subtracting -x to both sides:

52 = 3x - x

Subtracting numbers:

52 = 2x

Dividing both sides by 2:

52/2 = x

Simplifying:

`26=x`

Switching sides:

`x=26`

In conclusion, the age of Sydney is 26