x - larger number y - smaller number
x − y = 25 y = 6 x x = y + 25 6 y = x 6 y = y + 25 5 y = 25 y = 5
From the given word problem , the **smaller number **is 5
The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?
Let's assume the smaller number is represented by x and the larger number is represented by y.
According to the given information in the word problem , the difference between the two numbers is 25. This can be expressed as:
y - x = 25 (Equation 1)
It is also stated that the smaller number is 1/6th of the larger number:
x = (1/6) * y (Equation 2)
To find the value of the smaller number (x), we can substitute Equation 2 into Equation 1:
y - (1/6) * y = 25
Multiplying through by 6 to eliminate the fraction:
6y - y = 150
5y = 150
Dividing both sides by 5:
y = 30
Substituting the value of y back into Equation 2:
x = (1/6) * 30 = 5
Therefore, the value of the smaller number is 5.
Learn more on **word problem **here;
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The smaller number is 5, which is calculated by first defining the variables and setting up equations based on given conditions. By substituting and solving, we find that the larger number is 30, allowing us to determine the size of the smaller number. Ultimately, the answer is confirmed as 5.
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Jawaban:y = 6x - 216x - y = 21Penjelasan dengan langkah-langkah:y - y1 = m(x - x1) y - 3 = 6(x - 4)y - 3 = 6x - 24y = 6x - 21[tex]\boxed{ \red{ \boxed{\pink{\mathcal{M \frak{ ilana} \purple{ \tt01}}}}}} [/tex]