Kalam has three daughters; Shaila, Meena and Tina. Three years ago, when Kalam was twice as old as Tina, he was 30 years older than Meena. Now he is 47 years older than Shaila. In 4 years, Shaila will be half as old as Tina. What is the sum of the current ages of Kalam and his three daughters?
A
138
B
144
C
154
D
180
উত্তরের বিবরণ
Suppose, three years ago Tina's Age was = x years
So, then Kalam's age was = 2x years, Meena's age was = 2x-30.
Now Kalam's age = 2x+3, Shaila's age = 2x+3 - 47 = 2x-44.
According to the question,
x+7 = 2(2x-44+4)
⇒ x+7 = 4x-80
⇒ 3x = 87
⇒ x = 29
current age of Kalam = 2x+3 = 2×29 + 3 = 61, Tina = 29+3 = 32,
Meena = 61-30 = 31, Shaila = 2×29 - 44 = 14.
Sum of their ages = 61+32+31+14 = 138.
0
Updated: 18 hours ago
a - (1/a) = 3 হলে a2 + (1/a2) এর মান কত?
Created: 1 month ago
A
11
B
13
C
16
D
18
প্রশ্ন: a - (1/a) = 3 হলে a2 + (1/a2) এর মান কত?
সমাধান:
দেওয়া আছে,
a - (1/a) = 3
বা, {a - (1/a)}2 = (3)2
বা, a2 + (1/a2) - 2.a.1/a = 9
বা, a2 + (1/a2) - 2 = 9
বা, a2 + (1/a2) = 9 + 2
∴ a2 + (1/a2) = 11
0
Updated: 1 month ago
a > b এবং ab < 0 হলে, নিচের কোনটি ঋণাত্মক?
Created: 1 month ago
A
b
B
a
C
a - b
D
a2 - b2
প্রশ্ন: a > b এবং ab < 0 হলে, নিচের কোনটি ঋণাত্মক?
সমাধান:
ab < 0 হলে a এবং b এর যে কোনো একটি ঋণাত্মক হবে।
যেহেতু a > b
সেহেতু b অবশ্যই ঋণাত্মক হবে।
0
Updated: 1 month ago
f(x) = 6x2 - ax - 3 এবং (3x - 1), f(x) এর একটি উৎপাদক হলে a এর মান কত?
Created: 1 month ago
A
- 1
B
- 3
C
- 7
D
- 9
প্রশ্ন: f(x) = 6x2 - ax - 3 এবং (3x - 1), f(x) এর একটি উৎপাদক হলে a এর মান কত?
সমাধান:
f(x) = 6x2 - ax - 3
∴ f(1/3) = 6(1/3)2 - a(1/3) - 3 = 0
⇒ 6/9 - a/3 - 3 = 0
⇒ 6 - 3a - 27 = 0
⇒ - 3a = 21
∴ a = - 7
0
Updated: 1 month ago
