Question

If the difference between two numbers is 26 and one number is 3 time the other.find them plz give me answer and explain it​

Answer 1

Answer:

The numbers are 13 and 39.

Step-by-step explanation:

Let the numbers be,

• One number = x
• Second number = 3x

According to the Question,

Difference between two numbers is 26.

$\longrightarrow$ 3x - x = 26

$\longrightarrow$ 2x = 26

$\longrightarrow$ x = 26/2

$\longrightarrow$ x = 13

First number = 13

★ Second Number :

$\longrightarrow$ 3(13)

$\longrightarrow$ 39

Second number = 39

Therefore, the numbers are 13 and 39.

Answer 2

Answer:

Given :-

• The difference between the two numbers is 26.
• One number is 3 times the other number.

To Find :-

• What are the numbers.

Solution :-

Let,

$\mapsto \bf First\: Number =\: a$

$\mapsto \bf Second\: Number =\: b$

According to the question,

$\bigstar$ The difference between the two numbers is 26.

$\implies \sf\bold{\purple{a - b =\: 26\: ------\: (Equation\: No\: 1)}}$

$\bigstar$ One number is 3 times the other number.

$\implies \sf\bold{\purple{a =\: 3b\: ------\: (Equation\: No\: 2)}}$

By putting the value of a in the equation no 1 we get,

$\implies \sf a - b =\: 26$

$\implies \sf 3b - b =\: 26$

$\implies \sf 2b =\: 26$

$\implies \sf b =\: \dfrac{\cancel{26}}{\cancel{2}}$

$\implies \sf b =\: \dfrac{13}{1}$

$\implies \sf b =\: 13$

Again, by putting the value of b in the equation no 2 we get,

$\implies \sf a =\: 3b$

$\implies \sf a =\: 3(13)$

$\implies \sf a =\: 3 \times 13$

$\implies \sf a =\: 39$

Hence, the required numbers are :

❒ First Number :

$\longrightarrow \sf First\: Number =\: a$

$\longrightarrow \sf\bold{\red{First\: Number =\: 39}}$

❒ Second Number :

$\longrightarrow \sf Second\: Number =\: b$

$\longrightarrow \sf\bold{\red{Second\: Number =\: 13}}$

${\small{\bold{\underline{\therefore\: The\: numbers\: are\: 13\: and\: 39\: .}}}}$