Question

two angles are in the ratio1:2. on increasing the smaller angle by 6 and decreasing the larger angle by 6, the ratio changed to 2:3. what where the original angle?​

Answer 1

Answer:

Step-by-step explanation:

Let the angles bex,2x                                                                                         Then  =x+6/2x-6=2/3                                                                          Then do cross multiplication we get 3x+18=4x-24                                                               Now we get angles are 30 and 60 degrees

Answer 2

$\sf\blue {let \: two \:angles\: be \:X\: and\: 2X}$

$\sf\blue{In \: easing \: smaller \: by \: 6° \: and \: decreasing \: the \: larger } \\ \sf \blue{\: by \: 6° \: ,the \: ration \: to \: 2:3}$

$\tt \orange{⇒\frac{x + 6}{2x + 6} = \frac{2}{3} }$

$\tt⇒3 \times (x + 6) = 2 \times (2x - 6)$

$\tt⇒3x + 18 = 4x - 12$

$\tt \: ⇒4x - 3x = 18 + 12$

$\tt \boxed{ ⇒x = 30}$

$\huge \sf\green{Original \: angle \: are \: 30° \: and } \\ \tt = 2x \\ \tt = 2 \times 30 \\ \tt = 60°$

$\sf \green {\therefore \: \: \: \: original \: angle \: are \: 30° \: and \: 60°}$