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The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME?
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The ratio of two numbers is 7:10 and their difference is 105. The numb...
Given 7:10 is the ratio, then 7x:10x represents the same ratio Their difference = 10x - 7x = 3 x = 105 Hence x = 105/3 = 35 The numbers are 7 x 35 = 245 and 10 x 35 = 350
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Most Upvoted Answer
The ratio of two numbers is 7:10 and their difference is 105. The numb...
Let 1st number is 7x and second number is 10x
10x-7x = 105
3x=105
x = 105/3
x = 35
then
1st number is 7x means 7× 35=245
2nd number is 10x means 10×35=350
10x-7x = 105
3x=105
x = 105/3
x = 35
then
1st number is 7x means 7× 35=245
2nd number is 10x means 10×35=350
Community Answer
The ratio of two numbers is 7:10 and their difference is 105. The numb...
Ratios and Differences:
The given information states that the ratio of two numbers is 7:10 and their difference is 105. Let's denote the two numbers as x and y.
Forming Equations:
From the given ratio, we can write:
x/y = 7/10
To find the values of x and y, we need to form another equation using their difference. The difference between x and y is given as 105, which can be written as:
x - y = 105
Solving the Equations:
To solve these two equations, we can use the method of substitution. Rearranging the first equation to solve for x, we have:
x = (7/10)y
Substituting this value of x into the second equation, we get:
(7/10)y - y = 105
Simplifying the equation, we have:
(7/10 - 1)y = 105
(-3/10)y = 105
To isolate y, we can multiply both sides of the equation by -10/3:
y = (105)(-10/3)
y = -350
Calculating x:
Now that we know the value of y, we can substitute it back into the first equation to find x:
x = (7/10)(-350)
x = -245
Final Answer:
Therefore, the two numbers are -245 and -350. However, in the given answer choices, all the numbers are positive. Hence, the correct answer is D) NONE.
The given information states that the ratio of two numbers is 7:10 and their difference is 105. Let's denote the two numbers as x and y.
Forming Equations:
From the given ratio, we can write:
x/y = 7/10
To find the values of x and y, we need to form another equation using their difference. The difference between x and y is given as 105, which can be written as:
x - y = 105
Solving the Equations:
To solve these two equations, we can use the method of substitution. Rearranging the first equation to solve for x, we have:
x = (7/10)y
Substituting this value of x into the second equation, we get:
(7/10)y - y = 105
Simplifying the equation, we have:
(7/10 - 1)y = 105
(-3/10)y = 105
To isolate y, we can multiply both sides of the equation by -10/3:
y = (105)(-10/3)
y = -350
Calculating x:
Now that we know the value of y, we can substitute it back into the first equation to find x:
x = (7/10)(-350)
x = -245
Final Answer:
Therefore, the two numbers are -245 and -350. However, in the given answer choices, all the numbers are positive. Hence, the correct answer is D) NONE.
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The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME?
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The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME?.
The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two numbers is 7:10 and their difference is 105. The numbers are A) 200,305 B) 185,290 C) 245,350 D) NONE. PLEASE EXPLAIN ME?.
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