
Three times the larger of two numbers is equal to four times the smaller. The sum of the number is . How do you find the numbers?
Answer
407.1k+ views
Hint: In this question, we have to find out two numbers. Let us assume that the smaller number is and the larger number is . Given, three times the larger of two numbers is equal to four times the smaller i.e., and the sum of the number is i.e., . Solving these two linear equations will give the required numbers.
Complete step by step answer:
In this question, we have to find out two numbers. Let the smaller number be and the larger number be . Now, we have two variables. So, we will form two linear equations according to the condition given in the question. According to the question, three times the larger of two numbers is equal to four times the smaller. So, we can write i.e.,
Also given that the sum of the number is . So, we can write .
Putting in , we get
Multiplying both the sides by , we get
On simplification, we get
Dividing both the sides by , we get
Putting the value of in , we get
On simplification, we get
Therefore, the larger number is and the smaller number is .
Note: This question is solved by solving two linear equations in which two variables are involved. A mathematical statement that has an equal to the symbol i.e., is called an equation. Linear equations are equations of degree one. Also note, when any linear equation is plotted on a graph, it will necessarily produce a straight line.
Complete step by step answer:
In this question, we have to find out two numbers. Let the smaller number be
Also given that the sum of the number is
Putting
Multiplying both the sides by
On simplification, we get
Dividing both the sides by
Putting the value of
On simplification, we get
Therefore, the larger number is
Note: This question is solved by solving two linear equations in which two variables are involved. A mathematical statement that has an equal to the symbol i.e.,
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