If cary is 6 years older than dan. in 6 years the sum of their ages will be 70. find the age of each man now

Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

Let's establish the two equations we will be using as displayed below:

Let Cary = C

Let Dan = D

Equation No. 1 -

C = D + 6

Equation No. 2 -

C + 6 + D + 6 = 70

To begin with, we will substitute the value of ( C ) from the first equation into the second equation to solve for ( D ).

Equation No. 2 -

C + 6 + D + 6 = 70

( D + 6 ) + 6 + D + 6 = 70

2D + 18 = 70

2D = 70 - 18

2D = 52

D = 52 / 2

D = 26

From this, we will substitute the value of ( D ) from the second equation into the first equation to solve for ( C ).

Equation No. 1 -

C = D + 6

C = 26 + 6

C = 32

FINAL ANSWER:

Therefore, Cary is 32 years old and Dan is 26 years old.

Hope this helps! :)
Have a lovely day! <3

In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct