Math, asked by brainlist444, 1 month ago

A number is 3 less than three times another number and their sum is 19 then find the number​

Answers

Answered by prafullaswain786
1

Answer:

The Numbers are 5.5 and 13.5

Step-by-step explanation:

Given

Number is = 3 less than three times another

Their sum is = 19

According to the Question -

➡ x + (3x - 3) = 19

➡ x + 3x - 3 = 19

➡ 4x = 19 + 3

➡ 4x = 22

➡ x = 22/4

➡ x = 5.5

One Number = 5.5

---------------------------------------------------------------------------------------------------------

Second Number =

➡ (3x - 3)

➡ 3(5.5) - 3

➡ 16.5 - 3

➡ 13.5

Second Number = 13.5

The Numbers are 5.5 and 13.5

Verification :-

Add the Numbers

➡ 5.5 + 13.5 = 19

➡ 19 = 19

➡ LHS = RHS

The Numbers are 5.5 and 13.5

                               HENCE PROVED

Answered by IIMrVelvetII
27

Step-by-step explanation:

Given :-

  • Number is 3 less then 3 times of other number
  • Sum of both numbers is 19

To Fine :-

  • Both numbers

Solution :-

Let the number be :-

  • One as x
  • Second as (3x - 3)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

According to the question,

Sum of both numbers is 19

→x + (3x - 3) = 19

→x + 3x - 3 = 19

→4x - 3 = 19

→4x = 19 + 3

→4x = 22

→x = \frac{22}{4} = \frac{11}{2}

→ \fbox{x = 5.5}

1st Number is 5.5

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

2nd Number =

→3x - 3

→3(5.5) - 3

→16.5 - 3

→13.5

2nd Number is 13.5

∴ The numbers are 5.5 and 13.5

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Verification :-

For verification add both the numbers,

→5.5 + 13.5 = 19

→19 = 19

Hence L.H.S = R.H.S

Therfore the numbers are correct.

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