Algebra Play Class 8 Short Question Answer

Algebra Play Class 8 Short Question Answer

Algebra Play Class 8 Short Question Answer

Question 1.

One-fifth of a number minus 4 gives 3. Find the number.

Solution:

Let the number be x.

So, [latex]\frac{1}{5}[/latex]x - 4 = 3.

⇒ [latex]\frac{1}{5}[/latex]x = 3 + 4 = 7.

So, x = 7 × 5 = 35.

Question 2.

Sachin scored twice as many runs as Rahul. Sum of their runs are two less than 200. How many runs did each one score ?

Solution:

Let number of runs scored by Rahul be x.

So, runs scored by Sachin = 2x.

Now, x + 2x = 200 - 2.

⇒ 3x = 198 ⇒ x = [latex]\frac{198}{3}[/latex] = 66.

So, runs scored by Rahul = 66 and runs scored by Sachin = 2 × 66 = 132.

Question 3.

Laxmi’s father is 49 year old. He is 4 years older than three times of Laxmi’s age. Find Laxmi’s age.

Solution:

Let Laxmi’s age = x years.

So, her father’s age = (3x + 4) years.

Hence, 3x + 4 = 49

or 3x = 49 - 4 = 45

or x = [latex]\frac{45}{3}[/latex] = 15.

Thus, Laxmi’s age = 15 years.

Question 4.

In a garden, some of trees were fruit trees. The number of non-fruit trees in the garden were two more than three times the number of fruit trees. If the number of non-fruit trees were 77, then what was the number of fruit trees ?

Solution:

Let number of fruit trees be x.

So, 3x + 2 = 77

or 3x = 77 - 2 = 75

or x = [latex]\frac{75}{3}[/latex] = 25.

So, number of fruit trees = 25.

Question 5.

Munna subtracts thrice the number of his notebook from 50. He finds the result to be 8. Find the number of Munna’s notebooks.

Solution:

Let number of Munna’s notebooks be x.

So, 50 - 3x = 8

or 50 - 8 = 3x

or 42 = 3x

or x = [latex]\frac{2}{3}[/latex] = 14.

Thus, Munna has 14 notebooks.