# Set up equa

The parts of this given questions are solved below:

(a) We have to frame the equation on the basis of given statement

And then solve the so framed equation

Thus,

Let the number be a

We know that,

Eight times of a is 8a

Therefore,

As per the statement,

We can write the equation as,

8a + 4 = 60

8a = 60 – 4

8a = 56

Now,

Dividing 8 on both the sides, we get

Therefore,

a = 7

(b) We have to frame the equation on the basis of given statement

And then solve the so framed equation

Thus,

Let the number be a

We know that,

One fifth of a is

Therefore,

As per the statement,

We can write the equation as,

= 3 + 4

= 7

Now,

Multiplying 5 to both the sides, we get

Therefore,

a = 35

(c) We have to frame the equation on the basis of given statement

And then solve the so framed equation

Thus,

Let the number be a

We know that,

Three fourth of a is

Therefore,

As per the statement,

We can write the equation as,

= 21 – 3

= 18

Now,

Multiplying to both the sides, we get

Therefore,

a = 24

(d) We have to frame the equation on the basis of given statement

And then solve the so framed equation

Thus,

Let the number be a

We know that,

Twice of a is 2a

Therefore,

As per the statement,

We can write the equation as,

2a – 11 = 15

2a = 15 + 11

2a = 26

Now,

Dividing 2 on both the sides, we get

Therefore,

a = 13

(e) We have to frame the equation on the basis of given statement

And then solve the so framed equation

Thus,

Let the number be a

We know that,

Thrice of a is 3a

Therefore,

As per the statement,

We can write the equation as,

50 – 3a = 8

-3a = 8 – 50

-3a = -42

Now,

Dividing -3 on both the sides, we get

Therefore,

a = 14

(f) We have to frame the equation on the basis of given statement

And then solve the so framed equation

Thus,

Let the number be a

Therefore,

As per the statement,

We can write the equation as,

Now,

Multiplying 5 to both the sides, we get

Therefore,

a + 19 = 40

a = 40 – 19

a = 21

(g) We have to frame the equation on the basis of given statement

And then solve the so framed equation

Thus,

Let the number be a

We know that,

of a is

Therefore,

As per the statement,

We can write the equation as,

= 23 + 7

= 30

Now,

Multiplying to both the sides, we get

Therefore,

a = 12

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