Question

The difference between two numbers is 26 and one number is three times the other . Find the numbers

Answer 1

Answer:

Step-by-step explanation:

Given :-

The difference between the two numbers is 26.

One number is 3 times the other

To Find :-

The Numbers.

Solution :-

Let the larger number be x and the smaller number be y.

According to the Question

1st Equation

x –y = 26 ………….(i)  

2nd Equation

x = 3y …………(ii)  

Putting x value in Eq (i)

⇒ x –y = 26

⇒ 3y –y = 26  

⇒ 2y = 26  

⇒ y = 26/2

⇒ y = 13  

Putting y value in Eq (i)

⇒ x –y = 26  

⇒ x – 13 = 26  

⇒ x = 26 + 13

⇒ x = 39  

Hence, the required numbers are 39 and 13

Answer 2

Answer

Given,

• Difference of two number = 26
• One number is 3 times the other

To find,

Both the numbers.

Solution,

Let one number be 'x' and the other one be 'y'

Let one number be 'x' and the other one be 'y' Such that 'x' is greater than 'y'

Now,

As per the condition:

ᗔ x - y = 26 ---------(1)

Clearly,

ᗔ x = 3y ( we assumed 'x' as greater )

ᗔ x = 3y ------------(2)

Putting the value of 'x' from (2) into (1)

We get,

ᗔ 3y - y = 26

ᗔ 2y = 26

ᗔ y = $\rm \frac { 26 } { 2 }$

ᗔ y = 13

Putting 'y=13' in (2)

We get,

ᗔ x = 3(13)

ᗔ x = 39

Hence the two numbers will be 13 & 39