Question

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$\huge\mathfrak\pink{✩Question}$

From the pair of linear equation for the following problem and find their solution by subsition method


1) The difference between two number is 26 and one number is 3 time the number . Find them

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Answer 1

Answer:

one number 3 times the number is=26x3=78

another number=78-26=52

Answer 2

$\huge\underbrace\mathfrak\color{lime}{ †\: Question:–}$

The difference between two number is 26 and one number is 3 time the number . Find them

$\huge\underbrace\mathfrak\color{lime}{ †\: Answer:–}$

Let the larger Number be = x

And a small number be = y

$~~~~~~~~~~~~~~[x > y]$

According to the problem ;

Larger Number - smaller Number

The difference between two number is 26

$~~~~~~~~~~~~~~\longrightarrow$$\bold{x - y = 26}$--------(1)

Larger Number = Smaller number

one number is 3 time the number

$~~~~~~~~~~~~~~\longrightarrow$$\bold{x = 3y}$-------(2)

Substitute eq(1) in eq(2)

$~~~~~~~~~~~~~~\longrightarrow$$\bold{3y - y = 26}$

$~~~~~~~~~~~~~~\longrightarrow$$\bold{2y = 26}$

$~~~~~~~~~~~~~~\longrightarrow$$\bold{y = \frac{26}{2}}$

$~~~~~~~~~~~~~~\longrightarrow$$\bold{y = \cancel\frac{26}{2}}$

$~~~~~~~~~~~~~~\longrightarrow$$\bold{y = 13}$

Substitute y = 13 in eq (2)

$~~~~~~~~~~~~~~\longrightarrow$$\bold{x = 3y}$

$~~~~~~~~~~~~~~\longrightarrow$$\bold{x = 3 × 13}$

$~~~~~~~~~~~~~~\longrightarrow$$\bold{x = 39}$

Larger Number = 39

And smaller Number = 13