Barbara's sister is twice as old as Barbara. Barbara's sister is 7 years younger than Barbara's brother. If Barbara's brother is 21, which equation could be used to find Barbara's age (b)?

Answer:
Option D
Step-by-step explanation:
Let the age of Barbara sister = x years
And the age of Barbara's brother = y years
"Barbara's sister is 7 years younger than Barbara's brother"
x = y - 7
If y = 21,
x = 21 - 7 ------(1)
"Barbara's sister is twice old as Barbara"
x = 2b --------(2)
By substituting the value of x from equation (2) to equation (1),
2b = 21 - 7
2b + 7 = 21 + 7
2b + 7 = 21
Therefore, Option D will be the answer.