Question
The current ages of 'Arjun' and 'Bhanu' are in the ratio
of 3:2, respectively. 'Y' years ago, the age of 'Chetna' was 40% less than the age of 'Bhanu'. Five years from now, the age of 'Chetna' will be half the age of 'Arjun'. If five years ago, the ages of 'Arjun' and 'Bhanu' were in the ratio of 8:Y, respectively, then determine the current age of 'Chetna'. [Ages of 'Arjun', 'Bhanu', and 'Chetna' can only take integral values]Solution
ATQ, Let the present ages of 'Arjun' and 'Bhanu' be '3a' years and '2a' years, respectively. So, present age of 'Chetna' = [{(3a + 5) /2} - 5] years ATQ; (2a - Y) × (6/10) = [{(3a + 5) /2} - 5] - Y Or, 12a - 6Y = 15a - 25 - 10Y So, 4Y = 3a - 25 ......... (I) Also, {(3a - 5) /(2a - 5) } = (8/Y) Or, Y × (3a - 5) = 8 × (2a - 5) So, Y = {(16a - 40) /(3a - 5) } On substituting the value of 'Y' in equation (II) , we have; 4 × {(16a - 40) /(3a - 5) } = 3a - 25 Or, 64a - 160 = (3a - 25) (3a - 5) Or, 64a - 160 = 9a2- 15a - 75a + 125 Or, 9a2- 154a + 285 = 0 Or, 9a2- 135a - 19a + 285 = 0 Or, 9a(a - 15) - 19(a - 15) = 0 Or, (9a - 19) (a - 15) = 0 So, a = 15 or a = (19/9) Since, age has to be an integer, a = 15 So, 4Y = 3 × 15 - 25 Or, 4Y = 20 So, Y = 5 So, present age of 'Chetna' = {(3a + 5) /2} - 5 = {(15 × 3) + 5) } ÷ 2 = 20 years = '4Y' years
What will come in the place of question mark (?) in the given expression?
(63 - ?) ÷ 5 + √625 = 19 X (9 - 6)
- What will come in place of (?), in the given expression.
(4² + 6²) × 2 = ? What will come in the place of question mark (?) in the given expression?
(40/25) X 80 - ? = 45% of 300 - 5525.6% of 250 + √? = 119
1220 ÷ 61 ÷ 5 + 450 of 20% - 70 = √ ?
Simplify the expression:
(5x + 15) / (x² + 3x)
What will come in the place of question mark (?) in the given expression?Â
435 ÷ 29 X 792 ÷ 44 = √(? + 14) + 35 + 221 ÷ 17
...192.251 + 326.233 + 125.021 + 19.273 = ?
36% of 640 – 12.5% of 352 + 25% of 640 = ? – 48% of 432
Simplify the following expressions and choose the correct option.
18 * 15 - {3/5 of 250 + 72}
