Question
Four years back, the ratio of Rohan and Neha’s ages
was 9:10. Twelve years from now, their ages will be in the ratio 11:12. What is Neha’s current age?Solution
ATQ,
Let Rohan and Neha’s ages 4 years ago be '9x' and '10x' respectively.
Rohan’s age after 12 years = 9x + 4 + 12 = (9x + 16) years
Neha’s age after 12 years = 10x + 4 + 12 = (10x + 16) years
ATQ,
(9x + 16)/(10x + 16) = 11/12
⇒ 12(9x + 16) = 11(10x + 16)
⇒ 108x + 192 = 110x + 176
⇒ 16 = 2x
⇒ x = 8
So, present age of Neha = 10 × 8 + 4 = 84 years
Difference between the interior and exterior angles of regular polygon is 60°. How many sides are there in the polygon?
The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angle is 2 : 3, the number of sides of these...
A regular polygon with 'x' sides has 54 diagonals, while another regular polygon with 'y' sides has 90 diagonals. Determine the sum of 'x' and 'y'.
The external angle of a regular polygon is 82°. Find the internal angle.
When each internal angle of a regular polygon measures as 144°. Determine the number of sides in the polygon.
Find the number of sides of regular polygon. If the ratio of interior angles and exterior angles are 3:2.
Each interior angle of a regular polygon is 45° more than its exterior angle, then find its number of sides.
If each interior angle of a regular polygon is 135°, then the number of sides that polygon has is:
A polygon has 44 diagonals. How many sides does this polygon have?
Relevant for Exams:
