Question

Amal's sister is half as old as Amal. Amal's mother is 3 times amals age. Amals father is 4 times older than amals motherThe sum of all 4 ages si 94. How old was Amal's mother when amal was born

Answer 1

Amal's mother was 11.4 years old when Amal was born.

Explanation:

Let's start by using variables to represent the ages of each person:

• Let A be Amal's age
• Let S be Amal's sister's age
• Let M be Amal's mother's age
• Let F be Amal's father's age

From the problem, we know:

• S = 0.5A
• M = 3A
• F = 4M
• A + S + M + F = 94

Substituting the first three equations into the fourth, we get:

`\sf:\implies A + 0.5A + 3A + 4(3A) = 94`

Simplifying:

`\sf:\implies A + 0.5A + 3A + 12A = 94`

`\sf:\implies 16.5A = 94`

`\sf:\implies A = 5.7`

So Amal is 5.7 years old. To find the age of Amal's mother when Amal was born, we need to subtract Amal's age from his mother's age:

`\sf:\implies M - A = 3A - A = 2A`

So Amal's mother was 2A = 2(5.7) = 11.4 years old when Amal was born.