Question

can anyone answer this with a understandable explanation ? pls answer this guyz...​

Answer 1

Answer:

4

Step-by-step explanation:

The given ratio is 9:5.

Let us consider the greater number as 9x and the smaller as 5x.

It is given that if 9 is added to the greater number , that is , 9x + 9 ; and 5 is subtracted from the smaller number , that is , 5x - 5 , the the greater number becomes thrice the smaller one , that is 9x + 9 = 3(5x - 5).

9(x + 1) = 3 (5x - 5) [took 9 as common in LHS]

$\frac{9(x + 1)}{3}$ = 5x - 5 [took 3 to the LHS]

OR

$\frac{9(x + 1)}{3}$ = $\frac{3(5x - 5)}{3}$ [dividing by 3 on both sides]

3(x +1) = 5x - 5 [simplification]

3x + 3 = 5x - 5

3 + 5 = 5x - 3x

8 = 2x

on further simplification,

4 = x.