मराठी

If (3x-4) : (2x+5) is the Duplicate Ratio of 3 : 4> Find X. - Mathematics

Advertisements
Advertisements

प्रश्न

If (3x-4) : (2x+5) is the duplicate ratio of 3 : 4 , find x. 

बेरीज
Advertisements

उत्तर

`(3x-4)/(2x+5) = (3)^2/(4)^2` 

⇒ `(3x-4)/(2x+5) = (3) = 9/16`

⇒ 48x - 64 - 18x +  45 

⇒ 30 x - 109 

⇒ x = `109/30`

x = `109/30`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Ratio and Proportion - Exercise 9.1

APPEARS IN

फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 9 Ratio and Proportion
Exercise 9.1 | Q 21

संबंधित प्रश्‍न

Find the triplicate ratio of the following :

`root (3)("ab"^2) : root (3)("a"^2"b")`


Two positive numbers are in the ratio 3: 4 and the sum of their squares is 1225. Find the numbers. 


Two numbers are in the ratio of 3: 5. If 8 is added to each number, the ratio becomes 2 : 3. Find the numbers.


If a : b = 5 : 3, show that (5a + 8b) : (6a – 7b) = 49 : 9.


If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find x, if y = 70


In the example below, find the ratio of the first number to the second.

24, 56


In the example below, find the ratio of the first number to the second.

84, 60


If (7p + 3q) : (3p – 2q) = 43 : 2 find p : q.


Samira sells newspapers at Janpath crossing daily. On a particular day, she had 312 newspapers out of which 216 are in English and remaining in Hindi. Find the ratio of the number of English newspapers to the number of Hindi newspapers.


A doctor reports blood pressure in millimeters of mercury (mm Hg) as a ratio of systolic blood pressure to diastolic blood pressure (such as 140 over 80). Systolic pressure is measured when the heart beats, and diastolic pressure is measured when it rests. Refer to the table of blood pressure ranges for adults.

Blood Pressure Ranges
  Normal Prehypertension Hypertension
(Very High)
Systolic Under 120 mm Hg 120-139 mm Hg 140 mm Hg and above
Diastolic Under 80 mm Hg 80-89 mm Hg 90 mm Hg and above

Manohar is a healthy 37 years old man whose blood pressure is in the normal category.

  1. Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.
  2. If Manohar’s systolic blood pressure is 102 mm Hg, use the ratio from part (a) to predict his diastolic blood pressure.
  3. Calculate the ratio of average systolic to average diastolic blood pressure in the prehypertension category.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×