The ages of three siblings combined is 32 the oldest is three times the age of the youngest the middle child is three years younger than the oldest write and solve an equation to find the ages of each sibling

Age of oldest child = 15

Age of middle child = 12

Age of youngest child = 5

Step-by-step explanation:

let the age of youngest child be 'x';

now, according to the question;

age of oldest child = 3x

age of middle child = 3x - 3

also;

⇒ 32 = age of youngest child + age of middle child + age of oldest child

⇒ 32 = x + 3x - 3 + 3x

⇒ 7x = 35

⇒ x = 5

so,

age of youngest child = x = 5

age of middle child = 3x - 3 = 12

age of oldest child = 3x = 15