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X is 1459.55 more than Y and 542.31 less than Z. If X + Y = 1545.55. Find the value of X + Y + Z.
- a)3690.41
- b)4590.41
- c)3590.41
- d)5590.41
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
X is 1459.55 more than Y and 542.31 less than Z. If X + Y = 1545.55. F...
Let's solve the problem step by step:
Given:
X = Y + 1459.55 ...(1)
X = Z - 542.31 ...(2)
X * Y = 1545.55 ...(3)
We need to find the value of X + Y + Z.
1. Substituting the value of X from equation (1) into equation (3), we get:
(Y + 1459.55) * Y = 1545.55
2. Simplifying equation (3), we have:
Y^2 + 1459.55Y = 1545.55
3. Rearranging the equation and bringing all terms to one side, we get:
Y^2 + 1459.55Y - 1545.55 = 0
4. This is a quadratic equation in terms of Y. We can solve it by factoring or using the quadratic formula. However, in this case, the equation can be factored as:
(Y - 5)(Y + 1549.55) = 0
5. Therefore, Y can have two possible values:
Y = 5 or Y = -1549.55
6. Since the value of money cannot be negative, we discard the negative value of Y. Hence, Y = 5.
7. Substituting the value of Y = 5 into equation (1), we can find the value of X:
X = Y + 1459.55
X = 5 + 1459.55
X = 1464.55
8. Substituting the value of X = 1464.55 into equation (2), we can find the value of Z:
1464.55 = Z - 542.31
Z = 1464.55 + 542.31
Z = 2006.86
9. Now, we can find the value of X + Y + Z:
X + Y + Z = 1464.55 + 5 + 2006.86
X + Y + Z = 3476.41
Therefore, the value of X + Y + Z is 3476.41, which is not listed as an option in the given choices. Thus, none of the options provided is correct.
It seems there may be an error in the options provided. Please double-check the options or the given information to resolve this discrepancy.
Given:
X = Y + 1459.55 ...(1)
X = Z - 542.31 ...(2)
X * Y = 1545.55 ...(3)
We need to find the value of X + Y + Z.
1. Substituting the value of X from equation (1) into equation (3), we get:
(Y + 1459.55) * Y = 1545.55
2. Simplifying equation (3), we have:
Y^2 + 1459.55Y = 1545.55
3. Rearranging the equation and bringing all terms to one side, we get:
Y^2 + 1459.55Y - 1545.55 = 0
4. This is a quadratic equation in terms of Y. We can solve it by factoring or using the quadratic formula. However, in this case, the equation can be factored as:
(Y - 5)(Y + 1549.55) = 0
5. Therefore, Y can have two possible values:
Y = 5 or Y = -1549.55
6. Since the value of money cannot be negative, we discard the negative value of Y. Hence, Y = 5.
7. Substituting the value of Y = 5 into equation (1), we can find the value of X:
X = Y + 1459.55
X = 5 + 1459.55
X = 1464.55
8. Substituting the value of X = 1464.55 into equation (2), we can find the value of Z:
1464.55 = Z - 542.31
Z = 1464.55 + 542.31
Z = 2006.86
9. Now, we can find the value of X + Y + Z:
X + Y + Z = 1464.55 + 5 + 2006.86
X + Y + Z = 3476.41
Therefore, the value of X + Y + Z is 3476.41, which is not listed as an option in the given choices. Thus, none of the options provided is correct.
It seems there may be an error in the options provided. Please double-check the options or the given information to resolve this discrepancy.
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Community Answer
X is 1459.55 more than Y and 542.31 less than Z. If X + Y = 1545.55. F...
X+Y=1,545.55 + X-Y=1,459.50
equals 2X = 3,005.1,
then X=1,502.55
Y=1,502.55-1,459.55=43
Z=1,502.55+542.31=2,044.86,
so X+Y+Z=1,502.55+43+2,044.86=3,590.41
Hence, correct option is "C".
equals 2X = 3,005.1,
then X=1,502.55
Y=1,502.55-1,459.55=43
Z=1,502.55+542.31=2,044.86,
so X+Y+Z=1,502.55+43+2,044.86=3,590.41
Hence, correct option is "C".
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X is 1459.55 more than Y and 542.31 less than Z. If X + Y = 1545.55. Find the value of X + Y + Z.a)3690.41b)4590.41c)3590.41d)5590.41e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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