Advertisements
Advertisements
Question
The ratio between two numbers is 5 : 9. Find the numbers, if their H.C.F. is 16.
Solution
Let the first number be 5x and second number be 9x
H.C.F. of 5x and 9x = Largest number common to 5x and 9x = x
Given H.C.F. = 16 ⇒ x = 16
∴ Required numbers = 5x and 9x = 5×16 and 9×16 = 80 and 144
APPEARS IN
RELATED QUESTIONS
Find the compound ratio of `sqrt(2) : 1, 3: sqrt(5)` and `sqrt(20) : 9`
If (3x – 9) : (5x + 4) is the triplicate ratio of 3 : 4, find the value of x.
If a + b : a - b = 11 : 8 ; find the vaIue of a : b
In an examination the ratio of the number of suo:essful candidates to unsuccessful candidates is 7:5. Had 30 more appeared and 10 more passed, the ratio of successful candidates to unsuccessful candidates would have been 4:3. Find the number of candidates who appeared in the examination originally.
A school has 630 students. The ratio of the number of boys to the number of girls is 3 : 2. This ratio changes to 7 : 5 after the admission of 90 new students. Find the number of newly admitted boys.
Two numbers are in the ratio of 3: 5. If 8 is added to each number, the ratio becomes 2 : 3. Find the numbers.
The ratio between two numbers is 3: 4. If their L.C.M., is 180. Find the numbers.
Solve for x: `(3x^2 + 5x + 18)/(5x^2 + 6x + 12) = (3x + 5)/(5x - 6)`.
If `a/b = c/d = e/f`, Prove that each of these ratios is equal to `(a + c + e)/(b + d + f)`.
Express the given ratio in its simplest form: `1 1/3:2 1/4:2 1/2`
Which ratio is greater:
`3/7` or `6/13`
Find the compounded ratio of: 2 : 3 and 4 : 9
Find the reciprocal ratio of `(1)/(9) : 2`
Arrange the following ratios in ascending order of magnitude: 2 : 3, 17 : 21, 11 : 14 and 5 : 7
Write the following ratio in the simplest form:
1 L 35 mL : 270 mL
Prove that (5 : 6) > (3 : 4).
3:33 = 33:333
Ramesh earns Rs. 28000 per month. His wife Rama earns Rs. 36000 per month. Find the ratio of rama’s earnings to their total earnings.
A car can travel 240 km in 15 litres of petrol. How much distance will it travel in 25 litres of petrol?
Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.