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Divide 43 into two parts so that 4 times the first and 3 times the second together equals to 150. Then ratio of the first and second parts is
- a)11 : 32
- b)21 : 22
- c)12 : 31
- d)25 : 18
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Divide 43 into two parts so that 4 times the first and 3 times the sec...
Let the first part of 43 be x, then the second part will be 43 – x
According to the question,
4x + 3 × (43 – x) = 150
⇒ 4x + 129 – 3 x=150
⇒ x = 21
∴ The first part is 21 and second part is 43 – 21 = 22
According to the question,
4x + 3 × (43 – x) = 150
⇒ 4x + 129 – 3 x=150
⇒ x = 21
∴ The first part is 21 and second part is 43 – 21 = 22
Most Upvoted Answer
Divide 43 into two parts so that 4 times the first and 3 times the sec...
To solve this problem, let's assume that the two parts of 43 are x and y, where x is the first part and y is the second part. We are given two conditions:
1) 4 times the first part plus 3 times the second part equals 150:
4x + 3y = 150
2) The sum of the two parts equals 43:
x + y = 43
We can solve this system of equations to find the values of x and y.
Solving the System of Equations:
Step 1: Solve the second equation for x in terms of y:
x = 43 - y
Step 2: Substitute this value of x into the first equation:
4(43 - y) + 3y = 150
Step 3: Simplify and solve for y:
172 - 4y + 3y = 150
-y = 150 - 172
-y = -22
y = 22
Step 4: Substitute the value of y into the second equation to find x:
x + 22 = 43
x = 43 - 22
x = 21
Ratio of the Two Parts:
The ratio of the first part (x) to the second part (y) is given by x : y. Plugging in the values we found, the ratio is:
x : y = 21 : 22
Therefore, the correct answer is option B) 21 : 22.
1) 4 times the first part plus 3 times the second part equals 150:
4x + 3y = 150
2) The sum of the two parts equals 43:
x + y = 43
We can solve this system of equations to find the values of x and y.
Solving the System of Equations:
Step 1: Solve the second equation for x in terms of y:
x = 43 - y
Step 2: Substitute this value of x into the first equation:
4(43 - y) + 3y = 150
Step 3: Simplify and solve for y:
172 - 4y + 3y = 150
-y = 150 - 172
-y = -22
y = 22
Step 4: Substitute the value of y into the second equation to find x:
x + 22 = 43
x = 43 - 22
x = 21
Ratio of the Two Parts:
The ratio of the first part (x) to the second part (y) is given by x : y. Plugging in the values we found, the ratio is:
x : y = 21 : 22
Therefore, the correct answer is option B) 21 : 22.
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Divide 43 into two parts so that 4 times the first and 3 times the second together equals to 150. Then ratio of the first and second parts isa)11 : 32b)21 : 22c)12 : 31d)25 : 18Correct answer is option 'B'. Can you explain this answer?
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