Question

A father is six times as old as his daughter. After 4 years he will be only four times as old his daughter will be. What are their presents ages.

Answer 1

Answer:Father is 36 year old and daughter is 6 year old

Step-by-step explanation:it says 6 times as old as... So I thought that if daughter will be 6 father will be 36 and after 4 years daughter will be 10 and father will be 40

Answer 2

Given

• Father is six times as old as his daughter
• After 4 Years, he will be only four times as old his daughter

Explanation

Let the age of the Daughter be x and Father's age be 6x

After 4 Years,

• Daughter's Age = (x + 4)
• Father's Age = (6x + 4)

$\bigstar {\pmb{\underline{\sf{ According \ to \ Question: }}}} \\ \\ \\ \colon\implies{\sf{ 4(x + 4) = (6x + 4) }} \\ \\ \\ \colon\implies{\sf{ 4x + 16 = 6x + 4 }} \\ \\ \\ \colon\implies{\sf{ 16-4 = 6x-4x }} \\ \\ \\ \colon\implies{\sf{ \cancel{12} = \cancel{2} x }} \\ \\ \\ \colon\implies{\sf{ x = 6 }}$

Hence,

• Daughter's Age = x = 6 Years
• Father's Age = 6x = 6×6 = 36 Years