Question

Q.1 Solve the following equations :-

a). a + 8 = 24

b). p/9 = 8

Q2. Write the given information as an equation and find its solution:

a) The product of 15 and another number is 75.

b) A number increased by 15 is 22.

WRITE THE GIVEN INFORMATION AS AN EQUATION AND FIND ITS SOLUTION (Q 3 to Q 6 )

Q3.Four years ago , Seeta was 8 years old. How old is she today?

Q4. There are some sweets in a box. If some children are given2 sweets each , the sweets would

be enough for 20 children. How many sweets are there in the box?

Q5. Jay has some money. Mother gave him 20 rupees. Jay now has 35 rupees. How much did he

have to start with ?

Q6. 5 chocolates cost 25 rupees. How much does one cost ?

Q7. In triangle ABC,

a) Name three sides

b) Name three angles

c) Name three vertices.

Q8. The lengths of the sides of some triangles are given. Say what type of triangles they are.

Give reason.

a) 3.4 cm, 3.4 cm ,4.3 cm

b) 5 cm , 6 cm, 7 cm

please give full method​

Answer 1

QUESTION:-

Q.1 Solve the following equations :-

a). a + 8 = 24

b). p/9 = 8

SOLUTION:-

a)

$\large { \tt : \implies \: \: \: a + 8 = 24}$

$\large { \tt : \implies \: \: \: a = 24 - 8}$

$\large { \tt : \implies \: \: \: a = 16}$

• The value of a is 16.

b)

$\large { \tt : \implies \: \: \: \frac{p}{9} = 8}$

$\large { \tt : \implies \: \: \: p = 8 \times 9}$

$\large { \tt : \implies \: \: \: p = 72}$

• The value of p is 72.

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QUESTION:-

Q2. Write the given information as an equation and find its solution:

a) The product of 15 and another number is 75.

b) A number increased by 15 is 22.

SOLUTION:-

a)

• product = 75
• First number = 15
• Second number = x

The equation will be :-

$\large{ \tt : \implies \: \: \: \: \: 15 \times x = 75}$

$\large{ \tt : \implies \: \: \: \: \: x = \frac{75}{15} }$

$\large{ \tt : \implies \: \: \: \: \:x = 15}$

• The second number is 15.

b)

• Let the number be x
• Final number = 22
• Number increased by = 15

Let the equation be :-

$\large{ \tt : \implies \: \: \: \: \:x + 15 = 22}$

$\large{ \tt : \implies \: \: \: \: \:x = 22 - 15}$

$\large{ \tt : \implies \: \: \: \: \:x = 7}$

• The number is 7.

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QUESTION:-

WRITE THE GIVEN INFORMATION AS AN EQUATION AND FIND ITS SOLUTION (Q 3 to Q 6 )

Q3.Four years ago , Seeta was 8 years old. How old is she today?

Q4. There are some sweets in a box. If some children are given 2 sweets each , the sweets would be enough for 20 children. How many sweets are there in the box?

Q5. Jay has some money. Mother gave him 20 rupees. Jay now has 35 rupees. How much did he have to start with ?

Q6. 5 chocolates cost 25 rupees. How much does one cost ?

SOLUTION:-

Q3)

4 years ago, Seeta was 8 years old.

Let present age be x

$\large{ \tt : \implies \: \: \: \: x = 8 + 4}$

$\large{ \tt : \implies \: \: \: \: x = 12}$

• Present age of seeta is 12.

Q4)

• Number of children = 20
• Each child gets = 2 sweets
• Total sweets = x

$\large{ \tt : \implies \: \: \: \: x = 2 \times 20}$

$\large{ \tt : \implies \: \: \: \: x = 40}$

• Total number of sweets is 40.

Q5)

• Amount mother gave = ₹20
• Total amount = ₹35
• Amount Jay had in beginning = x

$\large{ \tt : \implies \: \: \: \: x + 20 = 35}$

$\large{ \tt : \implies \: \: \: \: x = 35 - 20}$

$\large{ \tt : \implies \: \: \: \: x = 15}$

• Jay had ₹15 in the beginning

Q6)

• Total chocolates = 5
• Total cost = ₹25
• Cost of each chocolate = x

$\large{ \tt : \implies \: \: \: \: x \times 5 = 25}$

$\large{ \tt : \implies \: \: \: \: x = \frac{25}{5} }$

$\large{ \tt : \implies \: \: \: \: x = 5}$

• The cost of one chocolate is ₹5.

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QUESTION :-

Q7. In triangle ABC,

a) Name three sides

b) Name three angles

c) Name three vertices.

SOLUTION:-

a) The three sides are:-

$\overline{AB}, \overline{BC}, \overline{AC}$

b) The three angles are:

$\angle{A}, \angle{B}, \angle{C}$

c) The three vertices are:-

$A,B,C$

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QUESTION :-

Q8. The lengths of the sides of some triangles are given. Say what type of triangles they are.

Give reason.

a) 3.4 cm, 3.4 cm ,4.3 cm

b) 5 cm , 6 cm, 7 cm

SOLUTION:-

a) Isosceles triangle

• Reason : Two sides are equal

b) Scalene Triangle

• Reason : All sides are different.

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