Question

24. Two natural numbers are in the ratio of 4:7 and their product is 112. Find both the numbers
O 4 and 7
O 8 and 14
O 12 and 21
O 16 and 28​

Answer 1

Answer:

so ,ur answer is b)8 and 14

We can clearly see by multiplying them

8 X 14

=112

Answer 2

Solution:-

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⟹ Here it is given in the question that the product of two numbers is 112 and their ratio is 4:7. Now, the question has asked us to find out the numbers. So, to find the numbers, assume the numbers as 4x and 7x. And after that follow the steps shown below.

ANSWER:-

⬤ 1st number = 8

⬤ 2nd number = 18

⬤ 8 and 14 is correct

GIVEN:-

⟼ 1st number = 4x

⟼ 2nd number = 7x

TO FIND:-

⟿ Numbers = ?

HOW TO DO:-

➜ 1st number × 2nd number = Product

SOLVING BY APPLYING THE FORMULA:-

⟼ 1st number = 4x

⟼ 2nd number = 7x

➜ 1st number × 2nd number = Product

• Finding the number:-

Product is 112.

So,

➜ 4x × 7x = 112

Multiplying the terms:- 7x × 4x = 28

So,

➜ 28x² = 112

Transposing 28 to R.H.S:- 112 / 28

So,

➜ x² = 112 / 28

Dividing the terms:- 112 / 28 = 4

So,

➜ x² = 4

Taking root of 4:- √4

So,

➜ x = √4

Root of 4:- 2

So,

➜ x = 2

Final Answer:- 2

So,

➜ x = 2

• Numbers:-

➜ 1st number = 4x

⠀⠀⠀⠀⠀4x = 4 × 2

⠀⠀⠀⠀⠀⠀⠀= 8

1st number is 8.

➜ 2nd number = 7x

⠀⠀⠀⠀⠀⠀7x = 7 × 2

⠀⠀⠀⠀⠀⠀ ⠀= 14

2nd number is 14.

VERIFICATION:-

➜ 1st no. × 2nd no. = Product

➜ 8 × 14

➜ 8 × 14 = 112

➜ 112

∴ L.H.S = R.H.S

Hence, verified.

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