Advertisements
Advertisements
Question
If m : n = 3 : 8, find the value of (3m+2n) : (5m+n)
Advertisements
Solution
m : n = 3 : 8 ⇒ `"m"/"n" = 3/8`
(3m+2n) : (5m+n) = `(3"m" + 2"n")/(5"m" + "n")`
= `(3 xx "m"/"n" + 2)/(5 xx "m"/"n" + 1)`
= `(3 xx 3/8 + 2)/(5 xx 3/8 + 1)`
= `(9/8 + 2)/(15/8 + 1)`
= `25/23` = 25 : 23
(3m+2n) : (5m+n) = 25 : 23
APPEARS IN
RELATED QUESTIONS
If 60% people in city like cricket, 30% like football, and the remaining like other games, then what percentage of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game.
Express the following ratios in its simplest form :
`2 1/3 : 3 1/2: 1 1/4`
Find the compound ratio of the following:
If P : Q = 6 : 7, Q : R = 8 : 9 find P : Q : R.
The angles of a triangle are in the ratio 3 :2 : 7. Find each angle.
Find the following ratio in the simplest form:
4 kg to 750 g
Express the following ratio in the simplest form:
777 : 1147
Divide Rs 3450 among A, B, and C in the ratio 3 : 5 : 7.
Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of father to the age of son when father was 30 years old.
A ratio can be equal to 1.
A rectangular sheet of paper is of length 1.2 m and width 21 cm. Find the ratio of width of the paper to its length.
