Math Problem Statement

10 वर्षांपूर्वी अभिषेकचे वय सागरच्या वयाच्या निमपट होते. सध्या त्यांचा वयांचे गुणोत्तर 5:6 आहे, तर आजच्या वयांची बेरीज किती?

Solution

The problem in the image is written in Marathi and appears to be related to the ages of two people. Here's the translation and analysis of the problem:

"At the time of the birth of a 10-year-old child, the ratio of the father's age to the mother's age was 5:6. What is the age of the father today?"

Now, to solve this problem:

  1. Let the father's age and the mother's age at the time of the birth of the child be 5x and 6x respectively.
  2. The child is now 10 years old, so 10 years have passed since the birth.
  3. Therefore, the current age of the father is 5x+105x + 10 and the current age of the mother is 6x+106x + 10.

We need to find the value of xx and then determine the father's current age.

Let me calculate that for you. sympy import symbols, Eq, solve

Define the variable x

x = symbols('x')

Set up the equation based on the problem

The father's age and mother's age at the time of birth

father_age_at_birth = 5 * x mother_age_at_birth = 6 * x

The current age of the father and mother, after 10 years

father_current_age = father_age_at_birth + 10 mother_current_age = mother_age_at_birth + 10

The problem does not ask for the mother's age, so we need to focus on father's current age

The father's current age is (5x + 10) as we derived earlier

father_current_ageThe father's current age is given by the expression 5x+105x + 10, where xx is a constant that needs to be determined. To find the exact age, we need further information about the problem or additional conditions.

Could you please provide more context or check if there's another piece of information available in the problem? This might help solve the value of xx and thus the father's age.

Would you like to explore more on this or have any questions? Here are some suggestions:

  1. How can the value of xx be determined?
  2. What is the method to solve age-related ratio problems?
  3. How would the equation change if the problem had a different ratio?
  4. Can we solve this with another approach like using algebraic methods?
  5. What happens if the problem involves different age gaps or ratios?

Tip: When dealing with age problems in ratios, start by setting up equations based on the given ratios and the time difference, then solve for the unknown variable!

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Math Problem Analysis

Mathematical Concepts

Algebra
Ratio and Proportion
Age Problems

Formulas

Let Abhishek's age 10 years ago be A, and Sagar's age be S. Given A = S/2.
Currently, A+10 and S+10 satisfy the ratio (A+10)/(S+10) = 5/6.
Solve for A and S, then sum their current ages.

Theorems

Ratio and Proportion
Linear Equations

Suitable Grade Level

Grades 8-10