144k views
4 votes
Sania is 1 year older than 3 times the age of Daniel. Kelly is 5 years younger than 6 times the age of Daniel. If Sania and Kelly are the same age, how old is Daniel?

A. 3 years
B. 4 years
C. 5 years
D. 6 years

User HardikT
by
7.4k points

1 Answer

3 votes

Final answer:

The student's question involves solving for Daniel's age given mathematical expressions for Sania and Kelly's ages. However, after setting up the equations and solving it, we find that Daniel's age is 2 years, which is not included in the given options, suggesting there might be an error in the question or options.

Step-by-step explanation:

The question presents a mathematical problem where Sania and Kelly's ages are given in relation to Daniel's age. We're told that Sania is 1 year older than 3 times the age of Daniel and that Kelly is 5 years younger than 6 times the age of Daniel. We also know that Sania and Kelly are the same age.

Let Daniel's age be represented by the variable 'd'. According to the information given, we can write two equations:

Since Sania and Kelly are the same age, we equate the two expressions:

3d + 1 = 6d - 5

Solving for 'd', we subtract 3d from both sides and add 5 to both sides:

1 + 5 = 6d - 3d

6 = 3d

Divide both sides by 3:

d = 2

Therefore, Daniel is 2 years old, which is not one of the provided options. There seems to be a mistake in the options given or in the setup of the problem.

User Sesame
by
7.7k points