Question
The current age ratio of Aman to
Bheem is 5:6. What is Aman's current age? Statement I: Bheem's age 18 years from now will be 20% greater than Aman's age 15 years from now. Statement II: The sum of the ages of Aman and Bheem 5 years from now will be 10 years more than 220% of Aman's current age. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Let present ages of 'Aman' and 'Bheem' be '5x' years and '6x' years, respectively. Statement I: According to statement: 1.20 X (5x + 15) = 6x + 18 Or, 6x + 18 = 6x + 18 Since, we cannot find the value of 'x'. So, we cannot find the present age of 'Aman'. So, data given in statement I alone is not sufficient to answer the question. Statement II: According to statement; (5x + 5) + (6x + 5) = 2.2 X 5x + 10 Or, 11x + 10 = 11x + 10 Since, we cannot find the value of 'x'. So, we cannot find the present age of 'Aman'. So, data given in statement II alone is not sufficient to answer the question. Combining statements I and II, we get; We cannot find the present age of 'Aman'. Therefore, the data given in both statements I and II together are not sufficient to answer the question.
In a triangle with sides 13, 14, and 15 cm, find the height corresponding to the longest side.
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 5√3 cm?
Two triangles DEF and XYZ are similar to each other. If DE = 5 cm, DF = 7 cm, and XY = 15 cm, then find XZ.
The area of an equilateral triangle is 432√3 cm2 . If a square is drawn using the height of the triangle as one of the sides, then find the...
In a right-angled triangle, the two perpendicular sides are 9 cm and 12 cm. What is the radius of the incircle of the triangle?
If in triangle ABC, If side AB=6√ 3, AC=12 and BC=6, then angle B equals:
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
An equilateral triangle has all sides of length 14√3 cm. What is the altitude of this triangle?
In the Figure given below, find the value of x?
