Question

(4x+1) , (2x-1) (3x-7) + =6 3 2 5​

Answer 1

Answer:

The ratio of number mango of trees to chickoo trees in an orchard is 2 : 3. If 5 more trees are added to each ratio it's becomes 5 : 7

Find the number of mango and chickoo trees in the orchard.

Answer:

Mango trees = 20

Chickoo trees =30

Explanation:

Let's assume the common ratio as \boldsymbol xx

Number of mango trees = 2x2x

Numer of chickoo trees = 3x3x

Adding 5 more trees to each.

New number of,

Mango trees = (2x + 5)(2x+5)

Chickoo trees = (3x + 5)(3x+5)

According to the question,

\implies \: (2x + 5) : (3x + 5) = 5 : 7⟹(2x+5):(3x+5)=5:7

Solving for \boldsymbol xx

\implies \: \dfrac{(2x + 5)}{(3x + 5)} = \dfrac{5}{7}⟹

(3x+5)

(2x+5)

=

7

5

\implies \: 7(2x + 5) = 5(3x + 5)⟹7(2x+5)=5(3x+5)

\implies \: 14x + 35 = 15x + 25⟹14x+35=15x+25

\implies \: 35 - 25 = 15x - 14x⟹35−25=15x−14x

\implies \: x = 10⟹x=10

Hence, number of :-

Mango trees = 2x = \bf 202x=20

Chickoo trees = 3x = \bf 303x=30 its may help u