Question

one number is 3 more than another number . also 4 times the smaller number is equal to three times the larger number . find the two numbers ​

Answer 1

Let the larger number be x.

Let the smaller number be y.

By data,

One number is three more than another number.

x = y + 3

Let the above equation be equation 1.

Four times the smaller number is equal to three times the larger number .

4y = 3x

Let the above equation be equation 2.

Substitute equation 1 in equation 2.

We get,

$4y = 3x \\ \\ 4y = 3(y + 3) \\ \\ 4y = 3y + 9 \\ \\ 4y - 3y = 9 \\ \\ y = 9$

The smaller number is 9.

Substitute y = 9 in any one of the equations.

Let's put y = 9 in equation 1.

$x = y + 3 \\ \\ x = 9 + 3 \\ \\ x = 12$

The larger number is 12.

Hence the two required numbers are 9 and 12.

Answer 2

Answer:

Given :

• One number is 3 more than other number and also 4 times the smaller number is equal to three times the larger number.

Find Out :

• What are the two numbers.

Solution :

Let's the first number = x

And the second number will be = 3 + x

According to the question,

↦ 4x = 3(3 + x)

↦ 4x = 9 + 3x

↦ 4x - 3x = 9

➠ x = 9

Therefore,

First number = x = 9

Second number = 3 + x = 3 + 9 = 12

Hence, the two numbers are 9 and 12.