Question

If (42² 739) : (22? +5y?) = 12 : 19, then a : y is​

Answer 1

Answer:

3:2

Step-by-step explanation:

Solution(By Examveda Team)

=

4x2−3y2

2x2+5y2

=

12

19

⇒19(4x2−3y2)=12(2x2+5y2) ⇒76x2−57y2=24x2+60y2 ⇒52x2=117y2 ⇒4x2=9y2 ⇒

x2

y2

=

9

4

⇒(

x

y

)2=(

3

2

)2 ⇒

x

y

=

3

2

∴x:y=3:2

Answer 2

Answer:

3:2

Step-by-step explanation: = 4x2−3y22x2+5y2=1219⇒19(4x2−3y2)=12(2x2+5y2)⇒76x2−57y2=24x2+60y2⇒52x2=117y2⇒4x2=9y2⇒x2y2=94⇒(xy)2=(32)2⇒xy=32∴x:y=3:2

I hope this answer helps you.