Bill is 6 years older than Mary. The sum of their ages is 48. What are the equations used to find their ages?

Step-by-step explanation:

Mary's age = x

Billi's age = x+6

So, Mary age + Billi age = x + (x + 6)

Sum of their ages = 2x + 6

So, 2x + 6= 48

2x = 48 - 6

2x = 42

x = 42/2

Mary age = x = 21

And Billi age = x +6= 21 + 6 = 27

So Mary = 21

And Billi = 27

Lets check!

21 + 27 = 48

So therefore their ages add up to 48

So the answer is correct!

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

step-by-step explanation: