Answer :
Answer:
Step-by-step explanation:
There are 3 brothers Adam Ben and Callum find Adams age
Let us represent their ages as:
Adam = a
Ben = b
Callum = c
Callum is 2/3 of adams age
c = 2/3 of a =
c = 2a/3
Cross Multiply
3c = 2a
a = 3c/2...... Equation 1
Ben is 4/5 of Adams age
b = 4/5 of a = 4a/5
b = 4a/5..... Equation 2
Given that Callum is 2 years younger than Ben
c = b - 2..... Equation 3
If b = 4a/5
a = 3c/5
We substitute 3c/5 for a in Equation 2
b = 4(3c/5) ÷ 5
b = 12c/5 ÷ 5
b = 12c/5 × 1/5
b = 12c/25
We substitute 12c/25 for in b in Equation 3
c = b - 2..... Equation 3
c = 12c/25 - 2
Multiply through by 25
25c = 12c - 50
Collect like terms
25c - 12c = -50