Advertisements
Advertisements
प्रश्न
If (2x + 3y) : (3x + 2y) = 4 : 3; then x : y is ______.
पर्याय
6 : 1
2 : 3
1 : 6
3 : 2
Advertisements
उत्तर
If (2x + 3y) : (3x + 2y) = 4 : 3; then x : y is 1 : 6.
Explanation:
Given (2x + 3y) : (3x + 2y) = 4 : 3
`\implies (2x + 3y)/(3x + 2y) = 4/3`
`\implies` 3(2x + 3y) = 4(3x + 2y)
`\implies` 6x + 9y = 12x + 8y
`\implies` 9y – 8y = 12x – 6x
`\implies` y = 6x
`\implies x/y = 1/6`
`\implies` x : y = 1 : 6
APPEARS IN
संबंधित प्रश्न
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.
If (3x – 9) : (5x + 4) is the triplicate ratio of 3 : 4, find the value of x.
If 5x + 6y : 8x + 5y = 8 : 9, find x : y.
Find the compounded ratio of the following:
15: 16 and 8 : 5
Find the sub-triplicate ratio of the following :
512: 216
Find the reciprocal ratio of e following :
`1/45 : 1/54`
Divide 64 cm long string into two parts in the ratio 5 : 3.
The ages of A and B are in the ratio 6 : 5. If A’s age is 18 years, find the age of B.
In the following figure, division represents 1 cm:
Express numerically the ratios of the following distances:
CE : DI
In a year, Seema earns ₹ 1,50,000 and saves ₹ 50,000. Find the ratio of money that Seema earns to the money she saves.
