A statement which contains the equal sign = is known as an equation.

eg; 2x -4x=2x , 45=0

1. The sum of the ages of anup and his father is 100. When anup is as old as his father now, he will be 5 times as old as his son anuj is now. Anuj will be eight years older than anup is now, when anup is as old as his father. What are their ages now?

Let the present ages (in years) of Anup’s father,

Anup and Anuj be x, (100 – x) and respectively.

Difference between Anup’s father and Anup’s ages (in years)

= x – (100 – x) = x – 100 + x = 2x – 1002x – 100 years

later, Anup will be x years old and 5 times old as Anuj is now.X = 5y

y = x/5 -----------(i)

When Anup is x yr old,then Anuj will be y +(2x-100)yrs old and 8yrs older than Anup is nowTherefore y + (2x-100) = (100 – x ) + 8 -------------(ii)

On putting y = x/5 from (i) we get

X = 65 yrs

So Anup’s fathers age = 65 yrs,

Anup’s age = 100-65 = 35 yrs ,

Anuj ages = x/5 = 65/5 = 13 yrs

2. I am currently 5 times as old as my son. In 6 years of time I will be three times as old he will be then. What are our ages now?

Let the Age Of Me Be 5x And Sons be x.

After 6 Years 5x+6 And x+6

It is Given that I Would Be Three Times The Age Of My Son

5x+6 = 3(x+6)

5x+6 = 3x+18 Þ 5x-3x = 18-6

2x = 12Þx = 6

So My Age = 6x5 = 30

Answer: My Age- 30 Years, Sons Age 6 Years

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For: VIII Linear equations of one variables test paper-1

VIII Linear equations of one variables test paper-2

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VIII Linear equations of one variables test paper-5

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