Given:
The ratio of the two quantities is 3 : 5.
Let the two quantities be 3x and 5x.
It is given that when each quantity is decreased by 9, the ratio becomes 5 : 9.
Solution:
(3x - 9) / (5x - 9) = 5 / 9
9(3x - 9) = 5(5x - 9)
27x - 81 = 25x - 45
27x - 25x = 81 - 45
2x = 36
x = 18
The smaller quantity is 3x, so 3 * 18 = 54.
Alternate Method:
Decrease in each number= 1 units =9
The smaller number = 6 units= 9 × 6= 54
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English40 Questions30 Marks25 Mins EnglishFind the value of x in the proportion 69 : 23 :: 63 : x.
The ratio of the incomes of A and B is 3 : 5 and the ratio of their expenditures is 2: 3. If the income of A is equal to 6/7 of the expenditure of B, then the ratio of the savings of A and B is :
The ratio of number of boys and girls in a school of 3528 students is 5:4. How many more girls should be admitted in the school to make this ratio 1:1?
If the third proportional of 28 and 70 be x, then what is the value of x?
The cost of 40 packets of 12 pens is ₹1680. The cost of 30 packets each containing 9 pens is
The first, second and fourth numbers in a proportion are 31, 12 and 156 respectively.
The mean proportional between 25 and a number N is two times the mean proportional between 15 and 35.
Compare the ratios 12 : 13, 7 : 8, 9 : 10, and 5 : 6. Which one is greater than 0.9 but smaller than 0.95?
Suggested Test Series
Suggested Test Series
