Question

If 27 x 32 = 3x×2y; find the values of x and y.​

Answer 1

Answer:

27 = 3 × 3 × 3

= 33

= 3x

∴ x = 3x

Also, 32 = 2y

32 = 2 × 2 × 2 × 2 × 2

= 25 = 2y

∴ y = 5

Then ,

27 x 32 = 3x×2y

27 x 32 = 3x × (2x5)

864 = 3x × 10

3x = 864 ÷ 10

3x = 86.4

x =28.8

Answer 2

Answer:

x=9 and y=16

Step-by-step explanation:

27×32=3x×2y

3×9 × 2×16=3x×2y

3×9=3x,so 3x=3×9

x=9

2×16=2y,so 2y=2×16

y=16

hence,x=9 and y=16