Question

14. Four times Sonu's age decreased by 3 is equal to 3 times his age increased by 7. How old is Sonu?
15. Find three consecutive numbers whose sum is 81.​

Answer 1

Answer:

1.let Sonus age be x.

$4x - 3 = 3x + 7 \\ 4x - 3x = 7 + 3 \\ x = 10$

Therefore sonu's age is 10 years.

2.let three consecutive numbers be x , x+1 , x+2

x +x+1+x+2=81

3x+ 3= 81

3x=78

x = 26.

Therefore the numbers are 26 , 27 and 28.

Answer 2

14 .Given :

⬤ Four times Sonu age decreased by 3 is equal to 3 times his age increased by 7 .

To Find :

⬤ Age ot Sonu .

Solution :

Let :

• Four times Sonu's age decreased by 3 . So , Age of Sonu be 4x - 3 = Three times his age Increased by 7 . So , 3x + 7

According to the Question :-

4x - 3 = 3x + 7

4x - 3x = 7 + 3

x = 10

Therefore , Age of Sonu is 10 years .

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15. Given :

⬤ Sum of 3 Consecutive Numbers is 81 .

To Find :

⬤ Three Consecutive Numbers .

Solution :

Let :

• Three Consecutive Numbers be x , x+1 , x+2 .

Now :

$\bf{x+x+1+x+2=81}$

3x + 3 = 81

3x = 81 - 3

3x = 78

x = 78/3

x = 26

Therefore, The Value of x is 26 .

Hence ,

First Consecutive Number = x

= 26

Second Consecutive Number = x + 1

= 26 + 1

= 27

Third Consecutive Number = x + 2

= 26 + 2

= 28

Therefore, The three Consecutive Numbers are 26 , 27 and 28 .