Question

A number is 3 less than three times another number and their sum is 19,then find the numbers. Class 7 solution

Answer 1

Answer:

this is your answer

Step-by-step explanation:

अगर कोइ number ना पता हो तो x लेने का

Answer 2

Given -

• A number is 3 less than three times another number.

• Their sum is 19

To find -

• Those numbers

Solution -

In the Question, we are provided with the statement about the two numbers, and it is stated that their sum is 19, and we need to find those numbers for that, we will take those numbers as x, after that, we will add signs according to the statement, after that, we will find the value of those numbers. Let's do it!

So -

Let the common number be x

According to question -

Let the 1st number be 3x

Let the 2nd number be (3x - 3)

Their sum is 19

Making a linear equation -

$\tt\longrightarrow \: x \: + (3x \: - \: 3) \: = \: 19 \\ \\ \tt \longrightarrow \: x \: + \: 3x \: - 3 \: = \: 19 \: \\ \\ \tt \longrightarrow \: 4x \: - 3 \: = \: 19 \\ \\ \tt \longrightarrow \: 4x \: = 19 \: + \: 3 \\ \\ \tt \longrightarrow \: 4x \: = 22 \\ \\ \tt \longrightarrow \: x \: = \dfrac{22}{4} \\ \\ \tt \longrightarrow \: x \: = 5.5$

Now -

1st Number = 5.5

2nd Number = 3x - 3 = 3 × 5.5 - 3 = 13.5

Verification -

1st number + 2nd number = 19

5.5 + 13.5 = 19

19 = 19

LHS = RHS

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