# Word Problem 15

**Problem 15: A sum of 24 is divided into two parts so that seven times the first part added to five times the second part makes 146,**

**The value of the first part is ;**

**a. 13 b. 11 c. 17 d. 7**

**Summation problems, math of summation —**

**Solution: **

Let the first part of the sum is ‘x’ and second part is ‘y’

Now by given information;

To find value of first part i-e ‘x’ we eliminate ‘y’ by solving these two equations simulataneously;

Multiply eq 1 by 5 on both sides;

Now subtracting eq 3 from eq 2;

**so, the first part of the sum is 13**