Question

Divide 25 in two parts such that 7 times the first part added to 5 times the second part makes 139.

Answer 1

Hint-To solve this question, we must try to convert this word problem into a linear equation in one variable.Considering x has one part then the other part will be 25-x .Apply the conditions given in the question and form an equations to find the value of x.
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Complete step-by-step answer:
Given that sum of two parts is equal to 25
Let us assume the first part be x and second part be 25-x
First condition-7 times the first part =7x
Second condition-5 times the second part=5(x-25)
Also relation between two parts given as 7 times the first part added to 5 times the second part=139
Now we will write the word problem into linear equation
$ \Rightarrow $ 7x+5(25-x) = 139
$ \Rightarrow $ 7x+125-5x = 139
$ \Rightarrow $ 2x = 139-125
$ \Rightarrow $ 2x = 14
$ \Rightarrow $ x = 7
$\therefore $ First part will be 7
Second part will be 25-x=25-7=18
Note-To solve this question, we must try to understand the different time intervals and the other conditions which will be helpful to simplify the word problem into an equation. As we assume a variable in the above situation, we can also take two variables in our assumption.