Match correctly the equation to their solution. Equation Solution (i) m + 30 = 4 (a) 12 (ii) - 9 x = - 45 (b) 15 (iii) - n 3 = - 4 (c) - 26 (iv) n - 10 = - 3 (d) 5 (v) - 4 5 y = - 12 (e) 7

We know that, the process of finding the number a variable represents in an equation is called solving the equation. So, to find variable in the given equation we will add similar terms. So, m + 30 = 4 ⇒ m = 4 - 30 ⇒ m = - 26 And - 9 x = - 45 ⇒ x = - 45 - 9 ⇒ x = 5 And - n 3 = - 4 ⇒ n = - 4 × - 3 ⇒ n = 12 And n - 10 = - 3 ⇒ n = - 3 + 10 ⇒ n = 7 And - 4 5 y = - 12 ⇒ y = - 12 × - 5 4 ⇒ y = 15 So, Equation Solution (i) m + 30 = 4 (c) - 26 (ii) - 9 x = - 45 (d) 5 (iii) - n 3 = - 4 (a) 12 (iv) n - 10 = - 3 (e) 7 (v) - 4 5 y = - 12 (b) 15

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Earn 100

Rakesh is now $3$ times as old as his little brother Pinku, but in three more years he will be only twice as old as Pinku will be then. How old are they now?

Important Questions on Linear Equations in One Variable

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 16

In basketball game a field goal counts

2

points and a foul shot one point. Shreyash scored

14

points in a game. He made

3

times as many field goal as foul shots. On how many shots of each kind did he score?

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New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 17

The length of a rectangle is

6 m

less than twice its breadth. If the perimeter of the rectangle is

54 m

, find its length and breadth.

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New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 18

I have some

5 -

rupee coins and some

2 -

rupee coins. The number of

2 -

rupee coins is

4

times that of

5 -

rupee coins. If I have

₹ 117

in all, find the number of coins of each denominations.

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New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 19

A number is divided into two parts such that one part is $10$ more than the other. If the two parts are in the ratio $5 : 3$ . Find the numbers.

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New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 20

Pratik left one-third of his property for his son, one-fourth for his daughter and the remainder for his wife. If wife's share in the property was worth

₹ 10 lakh

and the total worth of Pratik's property is

₹ k lakh

, then find the value of

k

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New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 21

One-fourth of a herd of deer have gone to the forest. One-third of the total number are grazing in a field and remaining

15

are drinking water on the bank of a river. Find the total number of deer.

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New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Exercise>Q 22

Tick the correct option.

If $\frac{1}{3}$ is subtracted from a number and the difference is multiplied by $3$ , the result is $5$ . The number is

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IMPORTANT

New Mathematics Today Class 7>Chapter 12 - Linear Equations in One Variable>Revision Exercise>Q 1

Match correctly the equation to their solution.

	Equation		Solution
(i)	$m + 30 = 4$	(a)	$12$
(ii)	$- 9 x = - 45$	(b)	$15$
(iii)	$- \frac{n}{3} = - 4$	(c)	$- 26$
(iv)	$n - 10 = - 3$	(d)	$5$
(v)	$- \frac{4}{5} y = - 12$	(e)	$7$

Rakesh is now 3 times as old as his little brother Pinku, but in three more years he will be only twice as old as Pinku will be then. How old are they now?

Important Questions on Linear Equations in One Variable

Learn and Prepare for any exam you want !

Rakesh is now $3$ times as old as his little brother Pinku, but in three more years he will be only twice as old as Pinku will be then. How old are they now?