Question

A positive number is 7 times another number. If 15 is added to both the numbers
then one of the new number becomes times the other new number. What are the
numbers?​

Answer 1

Correct Question

⇒ A Positive Number is 7 time another number . If 15 is added to both Number then one of the new number becomes 5/2 times the other new number . What are the number ?

Solution

According to the question , Let the positive  number be x  and 7x /

⇒ 5/2( x + 15 ) = 7x + 15

⇒5( x + 15 ) = 2 ( 7x + 15 )

⇒5x + 75 = 14x + 30

⇒ 5x - 14x = 30 - 75

⇒ -9x = - 45

⇒ x = 5

We Get

⇒ Positive Number is 5 and 7 × 5 = 35

Answer

⇒ The Number is  5 and 35

More Information About Linear Equation

⇒ Definition = In the equation Involves only one variable and the highest index of power of the variable is 1 , the equation is called linear equation in one variable

Step to solve word problem

⇒ Step -1 ; First of all read the given problem carefully and note down the given and required quantities separately

⇒Step-2; Denote the unknow quantities x and y etc

⇒ Step-3 ; The translate the problem into mathematical language or statement

⇒ Step-4; Form the linear equation in one variable using the given condition in the problem

Answer 2

Answer :-

Let the number be x

Other is 7 times x, other number = 7x

According to the question -

$\implies\sf \dfrac{5}{2} (x + 15) = 7x + 15$

Now, we get the linear equation and by simply solving this equation we can get the value of numbers.

$\implies\sf 5 ( x + 15 ) = 2(7x + 15)$

$\implies\sf 5x + 75 = 14x + 30$

$\implies\sf 14x - 5x = 75 - 30$

$\implies\sf 9x = 45$

$\implies\sf x = \dfrac{45}{9}$

$\implies\boxed{\sf x = 5}$

7x = 7 × 5 = 35

Numbers = 5 , 35