Equations in One Variable Test

Result

Equations in One Variable Test - 2

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

How many solutions will a linear equation in one variable 2x = 5 have?

A
0

B
1

C
2

D
3

Solution

A linear equation in one variable can have only one solution.
Question 2
1 / -0

Sahil's mother's age is 10 years more than twice the age of Sahil. If four years ago, his mother's age was 3 times his age, find the present age of Sahil and his mother.

A
Mother's age = 34 years, Sahil's age = 12 years

B
Mother's age = 46 years, Sahil's age = 18 years

C
Mother's age = 36 years, Sahil's age = 18 years

D
Mother's age = 41 years, Sahil's age = 15 years

Solution

Let the present age of Sahil be x years.
∴ Mother's present age = (2x + 10) years

Four years ago,
(2x + 10 - 4) = 3(x - 4)
2x + 6 = 3x - 12

Step 1:
Subtract 3x from both sides.
2x + 6 - 3x = 3x - 12 - 3x
- x + 6 = - 12

Step 2:
Subtract 6 from both sides.
- x = - 12 - 6
- x = - 18

Step 3:
Divide both sides by - 1.
x = 18

Sahil's age = 18 years

∴ Mother's age = 2 × 18 + 10 = 36 + 10 = 46 years.