Answer
Verified
421.8k+ views
Hint: To solve this question, we multiply the ratio with a variable x. Then we make the necessary modifications to these numbers as given in the question. Then we solve for x to get the answer.
Complete step-by-step answer:
Given Data, the numbers are in a 9:5 ratio.
Multiply the ratios with x, then numbers become 9x and 5x.
So 9x is the greater number and 5x is the smaller number.
Given 9 is added to the greater number
i.e, 9x + 9
Given 5 is subtracted from the smaller number
i.e, 5x – 5
Now the numbers are 9x+9 and 5x -5
Given greater number becomes thrice the smaller one
i.e, 9x + 9 = 3(5x – 5)
=>9x + 9 = 15x -15
=> 6x = 24
=> x = 24/6
=> x = 4
Hence, the numbers are 9x and 5x i.e., 36 and 20.
Note: In such types of problems the key is to write the numbers given in the ratio, in the form of a variable like 9x and 5x. Making the modifications to these numbers using the sentences in the question is the next important step, it is easier to proceed with the problem this way. This way a relation is established, solve it for the answer.
Complete step-by-step answer:
Given Data, the numbers are in a 9:5 ratio.
Multiply the ratios with x, then numbers become 9x and 5x.
So 9x is the greater number and 5x is the smaller number.
Given 9 is added to the greater number
i.e, 9x + 9
Given 5 is subtracted from the smaller number
i.e, 5x – 5
Now the numbers are 9x+9 and 5x -5
Given greater number becomes thrice the smaller one
i.e, 9x + 9 = 3(5x – 5)
=>9x + 9 = 15x -15
=> 6x = 24
=> x = 24/6
=> x = 4
Hence, the numbers are 9x and 5x i.e., 36 and 20.
Note: In such types of problems the key is to write the numbers given in the ratio, in the form of a variable like 9x and 5x. Making the modifications to these numbers using the sentences in the question is the next important step, it is easier to proceed with the problem this way. This way a relation is established, solve it for the answer.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
State the differences between manure and fertilize class 8 biology CBSE
Why are xylem and phloem called complex tissues aBoth class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
What would happen if plasma membrane ruptures or breaks class 11 biology CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What precautions do you take while observing the nucleus class 11 biology CBSE
What would happen to the life of a cell if there was class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE