Question

Daniel's age is 15% of

Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Answer 1

• 27 years old

Explanation:

• Full question is
• Daniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel?

Solution

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

• d = 0.15s
• l = 0.75s
• r = 3d ⇒ r = 3*0.15s ⇒ r = 0.45s

Sum of ages:

• d + s + l + r = 141

Substitute and solve for s:

• 0.15s + s + 0.75s + 0.45s = 141
• 2.35s = 141
• s = 141/2.35
• s = 60

Rachel's age is:

• r = 0.45*60 = 27