Sherry is 31 years younger than her mom. The sum f their ages is 61. how old is sherry

Sherry age = 15 years.

Step-by-step 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.

Her mom would be 30 years old