## the product of two rational number is -9 if one of them is -12 find another

Question

the product of two rational number is -9 if one of them is -12 find another

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2 weeks 2021-07-22T18:38:02+00:00 2 Answers 0 views 0

1. ## Solution:-

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Here it is given in the question that the product of two numbers is -9 and one of the number is -12. Now, the question has asked us to find out the another numbers. So, to find the another numbers follow the steps shown below.

⪼ 2nd number = 3 / 4

### GIVEN:-

⟶ Product of 2 numbers = -9

⟶ 1st number = -12

### TO FIND:–

⇢ 2nd number = ?

### HOW TO DO:-

❐ Let the 2nd number be x.

❐ -12 × x = -9

❐ Equation = -12 × x = -9

❐ Solve further.

### SOLVING BY APPLYING THE FORMULA:-

⟶ Product of 2 numbers = -9

⟶ 1st number = -12

❐ Let the 2nd number be x.

❐ -12 × x = -9

❐ Equation = -12 × x = -9

❐ Solve further.

• Finding the value of x:-

☞ -12 × x = -9

Multiplying the terms:- -12 × x = -12x

So,

☞ -12x = -9

Transposing -12 to R.H.S:- -9 / -12

So,

☞ x = -9 / -12

☞ Dividing the terms:- -9 / -12 = -3 / -4

So,

☞ x = -3 / -4

☞ Cancelling minus by minus:- -3 / -4 = 3 / 4

So,

☞ x = 3 / 4

☞ Final answer:- x = 3 / 4

So,

☞ x = 3 / 4

Thus we got the answer. The 2nd number is 3 / 4.

## VERIFICATION:-

☞ 1st no. × 2nd no. = Product

☞ -12 × 3 / 4

☞ -12 × 3 = -36

☞ -36 / 4

☞ -36 / 4 = -9

∴ L.H.S = R.H.S

Hence, proved.

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2. ### Given:

• Product of two rational number is -9
• One number is -12

### To Find:

• Another number=?

### Solution:

According to the question,product of two number is given and one number is also given and we are said to find another number.

### Let’s assume:

• Let the another number be x.

According to the question,

-12 * x = -9

x = -9/-12

x=9/12