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?
Answers
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.