Answer:
Sherry age = 15 years.
Explanation:
Given : sherry is 31 years younger than her mom. The sum f their ages is 61.
To find : how old is sherry.
Solution : We have given sherry is 31 years younger than her mom.
Let the sherry mom age is = x
According to question ,
sherry is 31 years younger than her mom. =
Sherry age = x - 31 .
Sum of their age is 61
x + x - 31 = 61
2x - 31 = 61.
On adding both sides by 31
2x = 61+ 31
2x = 92
On dividing both sides by 2
x = 46.
Mom age = 46 .
Sherry age = 46 - 31 = 15.
Therefore, Sherry age = 15 years.