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Linear Equations In One Variable

Question
CBSEENMA8002192
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Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?

Solution

Let the age of Baichung = x years

∴             His father's age = (x + 29) years
and      His grandfather's age = (x + 29 +26) years
                                       = (x + 55 ) Years
      According to the condition, we have
      [x] + [x+29] + [x+55] = 135 years
or             x + x + 29 + x + 55 = 135
or                         3x + 84 = 135
   Transposing 84 to RHS, we have
                            3x = 135 - 84
or                          3x = 51
   Dividing both sides by 3, we have
                                x = 51 divided by 3 = 17
Now,       Baichung's age = 17 years
           His father's age = 17 + 29 = 46 years
       His grandfather's age = 46 + 26 = 72 years

Some More Questions From Linear Equations in One Variable Chapter

Solve the following equation:

x-2=7

Solve the following equation:

y + 3 = 10

Solve the following equation:

6 = z + 2

Solve the following equations:

x - 2 = 7

Solve the following equation:

6 = z + 2

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