Explanation:

Application : 1 Mark

Calculation : 1 Mark

Let the numbers be

x

and

y

.

According to given condition,

x

=

3

y

…

…

(

i

)

x

−

y

=

26

…

…

(

i

i

)

On solving (i) and (ii) we get,

x

=

3

y

[From (i)]

Substituting value of x in (ii)

3

y

−

y

=

26

y

=

13

Now,

x

=

3

y

x

=

3

(

13

)

⇒

x

=

39

∴

y

=

13

,

x

=

39

∴

The required numbers are 13 and 39.

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Verified answer

Answer:

Let us assume 2 numbers are x and y

According to the question,

The difference between two number is 26

I.e x - y = 26 .....(1)

Again,

one number is three times the other find them

As we considerd x as a bigger number so,

x = 3y .......(2)

Now put the value of x in equation (1)

we get,

⇒x - y = 26

⇒ 3y - y = 26

⇒ 2y = 26

⇒ y = 13

put the value of y in equation( 1)

we get,

⇒x = 3 ×13

⇒ x = 39

Hense, The two numbers are x = 39 and y = 13