Question

"Question 5 Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of this mother’s present age. What are their present ages?

Linear Equations in One Variable Page 31"

Answer 1

Equations with linear expressions in one variable only are known as linear equations in one variable.

 

An algebraic equation is an equality involving variables. It has an equality sign(=). The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS).

In an equation the values of the expressions on the LHS and RHS are equal.

Transposition:

Any term of a equation may be taken from one side to other with the change in its sign, this does not affect the equality of the statement . This process is called transposition.

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Solution:

 

 Let Shobo’s present  age be x years & his mother’s age be  6x years.

A.T.Q

After 5 years Shobo’s age be = x+5

(x+5)=6x/3

x + 5 = 2x

Transposing x to R.H.S

5 = 2x - x

5 = x

Shobo’s age be 5 years

6x = 6 × 5 = 30

Shobo’s mother age= 30 years.

Hence, the present ages of Shobo and Shobo’s mother  be 5 years and 30 years .

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Hope this will help you....