Question

(2) In a certain village the number of literate women is 83 more than the number of illiterate women. The total number of women in the village is 517. Make an equation and solve it to find the number of literate and illiterate women.

Answer 1

Let the number of illiterate women be x.
Then the number of literate women will be x + 83.
It is given that the sum of the numbers of illiterate and literate women is 517.
∴ x + x + 83 = 517
or 2x + 83 = 517
On subtracting 83 from both the sides, we obtain:
2x + 83 − 83 = 517 − 83
or 2x = 434
On dividing both the sides by 2, we obtain:
$\frac{2x}{2}=\frac{434}{2}$
or x = 217
∴ Number of illiterate women is 217.
And the number literate women is x + 83 = 217 + 83 = 300.