Advertisements
Advertisements
Question
If a : b = 9 : 10, find the value of `(5a + 3b)/(5a - 3b)`
Advertisements
Solution
a : b = 9 : 10
⇒ `a/b = (9)/(10)`
`(5a + 3b)/(5a - 3b)`
= `((5a)/(b) + (3b)/(b))/((5a)/(b) - (3b)/(b))`
= `((5a)/(b) + 3)/((5a)/(b) - 3)` ...(Dividing by b)
= `(5 xx 9/10 + 3)/(5 xx 9/10 - 3)`
= `(9/2 + 3)/(9/2 - 3)`
= `(15/2)/(3/2)` ...(Substituting the value of `a/b`)
= `(15)/(2) xx (2)/(3)`
= 5
RELATED QUESTIONS
The monthly pocket money of Ravi and Sanjeev are in the ratio 5 : 7. Their expenditures are in the ratio 3 : 5. If each saves Rs. 80 every month, find their monthly pocket money.
Express the following ratios in its simplest form :
`3 1/2 : 7`
If (x - 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
Express the given ratio in its simplest form: 10 paise : ₹ 1
Reduce the following ratio to their lowest term:
2 m 40 cm : 1 m 44 cm
Divide Rs 10,400 among A, B and C in the ratio `1/2:1/3:1/4`
A sum of Rs. 10, 500 is divided among A, B and C in the ratio 5 : 6 : 4. Find the share of each.
In the example below, find the ratio of the first number to the second.
63, 49
Find the duplicate ratio of 2 : 3
A train takes 2 hours to travel from Ajmer to Jaipur, which are 130 km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart if the train is travelling at the uniform speed?
