Question

the angle of a triangle are in the ratio 2:5. If 4 is added to each numbers the new ratio becomes 5:11, what are the numbers?​

Answer 1

Step-by-step explanation:

Let, the two numbers are x and y.

According to the first conditions,

           y+2x+2=21⇒2x−y=−2⟶(1)

and according to the second condition,

           y−4x−4=115⇒11x−5y=24⟶(2)

Multiplying equation (1) by 5 we get,

           10x−5y=−10⟶(3)

Subtracting equation (2) from equation (3),

           ⇒11x−5y−10x+5y=24+10

           ⇒x=34

Putting the value of x in equation (1),

           ⇒2×34−y=−2⇒68−y=−2⇒y=70

Hence, the required numbers are 34,70.