How can the number 45 be divided into two parts such that four times one part is 9 less than 5 times the other?
Answer: 21,24
Explanation
We know that:
- x + y = 45
- 4x = 5y - 9
From the first equation, we can express y in terms of x:
y = 45 - x
Substitute this into the second equation:
4x = 5(45 - x) - 9
Expand and simplify:
4x = 225 - 5x - 9
9x = 216
x = 24
Now, substitute x = 24 into the first equation:
24 + y = 45
y = 21
Therefore, the two parts are 24 and 21.
This question appeared in
Past Papers (3 times)
CSS MPT Past Papers and Syllabus (1 times)
CSS Past Papers download PDF (1 times)
FPSC 5 Years Past Papers Subject Wise (Solved With Details) (1 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- 24 is split into two parts such that 7 times the first part added to 5 times the second part makes 146. The first part is
- There is a certain pair of numbers such that the sun of twice the first number and thrice the second number is 61. However, when we subtract five times the second number from four times the first number, the answer is 45. Find the second number?
- Find an integer such that four times the number subtracted from two times the square of the number gives 15.
- There are two numbers such that the sum of the first and three times the second is 53, while difference between 4 times the first and twice the second is 2. What is the first number?
- There are two numbers such that the sum of the first and three times the second is 53, while the difference between 4 times the first and twice the second is 2. What is the second number?
- A total of 129,000 is divided among 5 sons, 4 daughters, and 3 nephews. Each son gets 5 times, and each daughter gets 4 times the amount received by each nephew. What is the amount each nephew gets?
- A cake is divided into two equal parts such that half of one part is twice the other. In how many parts cake is divided?
- The algebraic expression of the word expression "subtract eight times the number from been times of the number c" is
- If a sum on compound interest becomes 3 times in a certain number of years, then with the same interest rate, in how many years will it become 27 times?
- Two times Huma's age added to three times Ali's age equals 54 years. The linear equation in two variables for this situation is?
