Question

If difference between two numbers is 26 and one number is three times the other than slove and find the numbers

Answer 1

Answer:

first number=39

second number=13

Step-by-step explanation:

First Mark It As Brainliest

Let, first number be x

and second number be y

From first condition,

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

From second condition,

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

From (1) and (2),

3y-y=26 [x=3y]

2y=26

y=13

Substituting value of y in equation (1),

we get,

x-13=26

x=26+13

x=39

Answer 2

Given :-

Difference between two numbers is 26 and one number is three times the other.

To Find :-

The first number.

The second number.

Analysis :-

Consider the two numbers as variables.

Make two equations and substitute them.

Solve an get their values in order to get the numbers.

Solution :-

Let the two numbers be x and y respectively, so that y > x.

According to the question,

$\sf y = 3x \quad ....(1)$

$\sf y - x = 26 \quad ....(2)$

Substituting the value of equation (1) to (2),

$\sf 3x - x = 26$

$\sf 2x=26$

Finding the value of x,

$\sf x=\dfrac{26}{2}$

$\sf x=13 \quad ....(3)$

Substituting equation (3) in (1),

$\sf y=3x$

$\sf y = 3 \times 13$

$\sf y=39$

Therefore, the two numbers are 13 and 39.