A number when increased by 25% gives 80. The number is

Solution
\(x+\frac{x}{4}=80\)
\(\Rightarrow \frac{4x+x}{4}=80\)
\(\Rightarrow 5x=80\times 4\)
⇒ 5x = 80 × 4∴ x = 64
Mohan got married 9 years ago. Today his age is \(1\frac{1}{3}\) times of his age at the time of his marriage, Find his present age.

Solution
Suppose the present age of
Mohan is x years,
According to question\(x=(x9)\times \frac{4}{3}\)
⇒ 3x = 4x  36
⇒ 4x  3x = 36
∴ x = 36 years
Find the missing term: 2, 5, 9, 19, 37 ?

Solution
2 × 2 + 1 = 5
10 × 2 1 = 9
9 × 2 + 1 = 19
19 × 2 1 = 37
37 × 2 + 1 = 75
Two mixtures of milk and water contain 10% and 20% water. In what ratio should the two mixtures be mixed so that the resulting mixture contains 16% water?

Solution
Suppose the mixture is in the ratio x : 1
\(\frac{10\times x+20x1}{x+1}=16\)
⇒ 16x + 16 = lOx + 20
⇒ 16x  lOx = 20  16
⇒ 6x=4⇒x=^{4}⁄_{6}=^{2}⁄_{3}
Ratio of present ages of father and son is 8 : 3. If 10 years from now, the ratio becomes 2 : 1, find the present age of son.

Solution
Suppose the present age of
father = 8x years The present age of son
= 3x years
10 years hence
\(\frac{8x+10}{3x+10}=\frac{2}{1}\)
⇒ 8x + 10 = 6x + 20
⇒ 8x  6x = 20  10
⇒ 2x = 10
∴ x = 5
The present age of son = 3x
= 3 x 5 = 15 years
If difference between the squares of two consecutive numbers is 47.Find the smaller number

Solution
Suppose the numbers are
respectively x and x + 1
According to question,
(x +1)^{2}  X^{2} = 47
⇒x^{2}+2x+1X^{2}=47
⇒ 2x = 47  1 = 46
x=^{46}⁄_{2}=23
Smaller number = 23
Larger number = 24
What should be added to 16259 to make it a perfect square number?

Solution
Add 125.
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Who is the new Prime Minister of Pakistan?
The person who had been in news recently for leaking details of mass American surveillance program is