Question
Divide 45 into 4 parts such that if the first is
increased by 2, the second is decrease by 2, the third is multiplied by 2 and the fourth divided by 2, the result is the same. Find out First part?Solution
ATQ, Let the four parts be x, y, z, and w. Denote the common result by k. From the conditions: 
Thus, we can express the parts in terms of k:
The sum of the parts is:
Simplifying this gives = 4k + k/2 = 45 Multiply the equation by 2 to get rid of the fraction = 8k+k = 90 Solving for 9k = 90 ⇒ k = 10 Finally, the first part x is = k − 2 = 10−2 = 8 Thus, the first part is 8.
Which politician was awarded the Sahitya Akademi Award 2021 for 'Mirjafar O Anyanya Natak’?
Which of the following is a computer virus?
As per Economic Survey 2021-22, the ______ sector contributed the most to the GDP of India during the year.
Which among the following is the largest phylum of Animalia?
Where was the 3rd test match of England vs India Test Series 2021 played?
Which is the World's first Country to allow the production, sale and consumption of lab created meat?
Which of the following is NOT true regarding corporate social​ responsibility?
The CGWB under the Ministry of Jal Shakti conducts regular monitoring and assessment of groundwater quality including ground water contamination of Ars...
What is the rank of India in the production of fish in the world?
In which of the following cities is the ‘Raja Bhoj’ airport located?
Relevant for Exams:
