Q. 34.5( 65 Votes )

# Solve the following:

(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does permit have?

(ii) Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

(iii) People of Sundargarm planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non fruit trees planted was 77?

Answer :

i. In the first part:

Let the marbles of Parmit be x

Now,

5 times the number of marbles Parmit has = 5x

Therefore,

According to the condition given in the question:

5x + 7 = 37

5x = 37 – 7

5x = 30

Now,

We have to divide both sides by 5, we get:

=

5x = 30

Therefore,

x = 6

(ii) Here,

As per the question,

Let Laxmi’s age be x years,

Now,

3 × Laxmi’s age + 4 = Her father’s age

We can write it as:

3x + 4 = 49

3x = 49 – 4

3x = 45

Now,

Dividing both sides by 3, we get:

Thus,

x = 15

Hence,

Laxmi’s age is 15 years

(iii) Here,

As per the question,

Let the number of fruit trees be x,

Now,

3 × number of fruit trees + 2 = Number of non-fruit trees

We can write this as,

3x + 2 = 77

3x = 77 – 2

3x = 75

Now,

Dividing both sides by 3, we get:

Thus,

x = 25

Hence,

The number of fruit trees was 25.

Rate this question :

150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

NCERT - Exemplar MathematicsAnamika thought of a number. She multiplied it by 2, added 5 to the product and obtained 17 as the result. What is the number she had thought of?

NCERT - Exemplar MathematicsAfter 25 years, Rama will be 5 times as old as he is now. Find his present age.

NCERT - Exemplar MathematicsFill in the blanks to make the statements true.

If then x = ________.

NCERT - Exemplar MathematicsThe sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.

NCERT - Exemplar MathematicsSolve the following riddle:

I am a number,

Tell my identity!

Take me seven times over

And add a fifty!

To reach a triple century

You still need forty!

NCERT MathematicsExpress each of the given statements as an equation.

Mohan is 3 years older than Sohan. The sum of their ages is 43 years.

NCERT - Exemplar MathematicsSeven times a number is 12 less than thirteen times the same number. Find the number.

NCERT - Exemplar Mathematics