Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
We will convert the information from the problem into two equations as displayed below:
Let Donna = D
Let Donna's brother = B
Equation No. 1 -
D = B - 12
Equation No. 2 -
D + 2 = B / 2 + 14
To begin with, we will substitute the value of ( D ) from the first equation into the second equation to solve for ( B ).
Equation No. 2 -
D + 2 = B / 2 + 14
( B - 12 ) + 2 = B / 2 + 14
B - 10 = B / 2 + 14
B - B / 2 = 14 + 10
B / 2 = 24
B = 24 × 2
B = 48
From this, we will substitute the value of ( B ) from the second half into the first equation to solve for the value of ( D ).
Equation No. 1 -
D = B - 12
D = ( 48 ) - 12
D = 36
FINAL ANSWER:
Therefore, Donna is 36 years old and Donna's brother is 48 years old.
Hope this helps! :)
Have a lovely day! <3
