Question

The difference in the age of Tina and Mina is 20 years. If 5 years ago, Tina was 5 times older than Mina, then find their present ages.​

Answer 1

Answer:

Step-by-step explanation:

X is 2 and y is 4

Answer 2

$\\ {\bf{Given}} \begin{cases} {\sf{Let \ age \ of \ Mina \ be \ x \ years }} \\ {\sf{ Let \ age \ of \ Tina \ be \ (x+20)years }} \end{cases}$

• The difference in the age of Tina and Mina is 20 years.

5 Years ago,

• Mina's age = (x - 5)
• Tina's age = (x + 20 - 5)

$\\ \bigstar \ {\pmb{\underline{\sf{ According \ to \ Question: }}}} \\ \\ \colon\implies{\sf{ 5(x-5) = (x+20-5) }} \\ \\ \\ \colon\implies{\sf{ 5x-25 = x+15 }} \\ \\ \\ \colon\implies{\sf{ 5x-x = 15+25 }} \\ \\ \\ \colon\implies{\sf{ \cancel{4}x = \cancel{40} }} \\ \\ \\ \colon\implies{\sf{ x = 10 }}$

Hence,

• Mina's present age = x = 10 Years
• Tina's present age = (x + 20) = (10+20) = 30 years.