If 5x - y = 3125 and 33x + y = 2187, then the value of 19x - 18y is:
Given:
First equation:
Second equation:
Formula Used:
Solution:
Simplify the first equation:
x - y = 5
Simplify the second equation:
3x + y = 7
Adding both equations:
(x - y) + (3x + y) = 5 + 7
4x = 12
x = 3
Substitute the value of x in the first equation:
3 - y = 5
y = -2
Find the value of the required expression:
19x - 18y = 19(3) - 18(-2)
57 + 36 = 93
Final Answer
So the correct answer is (a)
English
100 Questions
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90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishA taxi service charges a fixed base fare plus a variable rate per kilometre. For a 10 km trip, Raju paid ₹230 and for a 15 km trip, Meena paid ₹330. What is the base fare and the per-kilometre charge?
If 5x - y = 3125 and 33x + y = 2187, then the value of 19x - 18y is:
Arohi buys 3 apples and 5 bananas for ₹85, while Rhea buys 2 apples and 4 bananas for ₹60. What is the total cost (in ₹) of one apple and one banana?
A shopkeeper has ₹10 and ₹5 notes totaling ₹350. If he has 45 notes in total, how many ₹10 notes does he have?
The sum of the digits of a two-digit number is 5. If 9 is added to this number, the digits interchange their places. Find the number.
The cost of a table exceeds that of a chair by ₹5,000. If the combined price of 16 tables and 14 chairs amounts to ₹2,00,000, determine by what percentage the price of a chair is less than the price of a table.
The cost of 2 pens and 5 pencils is ₹ 57. If the cost of a pen is increased by ₹ 1.50 and that of a pencil is decreased by ₹ 1, then the cost of 5 pens and 3 pencils is ₹ 109. What is the original cost of 3 pens and 4 pencils?
The cost of 18 pens and 4 pencils is ₹200. If the cost of a pen decreases by Rs. 1 and the cost of a pencil increases by Rs. 3, then the cost of 19 pens and 3 pencils is Rs. 151. What is the original cost of 12 pens and 10 pencils?
Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees and suits is 8. Find the number of suits and sarees.
Three chairs and two tables cost ₹1,850. Five chairs and three tables cost ₹2,850. Find the cost of two chairs and two tables.
Suggested Test Series
Suggested Test Series
A taxi service charges a fixed base fare plus a variable rate per kilometre. For a 10 km trip, Raju paid ₹230 and for a 15 km trip, Meena paid ₹330. What is the base fare and the per-kilometre charge?
If 5x - y = 3125 and 33x + y = 2187, then the value of 19x - 18y is:
Arohi buys 3 apples and 5 bananas for ₹85, while Rhea buys 2 apples and 4 bananas for ₹60. What is the total cost (in ₹) of one apple and one banana?
A shopkeeper has ₹10 and ₹5 notes totaling ₹350. If he has 45 notes in total, how many ₹10 notes does he have?
The sum of the digits of a two-digit number is 5. If 9 is added to this number, the digits interchange their places. Find the number.
The cost of a table exceeds that of a chair by ₹5,000. If the combined price of 16 tables and 14 chairs amounts to ₹2,00,000, determine by what percentage the price of a chair is less than the price of a table.
The cost of 2 pens and 5 pencils is ₹ 57. If the cost of a pen is increased by ₹ 1.50 and that of a pencil is decreased by ₹ 1, then the cost of 5 pens and 3 pencils is ₹ 109. What is the original cost of 3 pens and 4 pencils?
The cost of 18 pens and 4 pencils is ₹200. If the cost of a pen decreases by Rs. 1 and the cost of a pencil increases by Rs. 3, then the cost of 19 pens and 3 pencils is Rs. 151. What is the original cost of 12 pens and 10 pencils?
Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees and suits is 8. Find the number of suits and sarees.
Three chairs and two tables cost ₹1,850. Five chairs and three tables cost ₹2,850. Find the cost of two chairs and two tables.
