By using the letters of the given word Workshop
'Crow' is the only word which cannot be formed due to the absence of letter 'C'.
By using the letters of the given word Attraction ,
'Caution' is the only word which cannot be formed due to the absence of letter 'U'.
By using the letter of the given word, 'COMMUNICATION'
'UNISON' is the only word which cannot be formed due to the absence of letter 'S' in word 'COMMUNICATION' .
From the given word INTERVENTION ,
'ENTERTAIN' is the only word which can not be formed due to the absence of letter 'A' in given word INTERVENTION .
From the given word PORTFOLIO ,
'PORTICO' is the only word which cannot be formed due to absence of letter 'C'.
From the given word, 'CHANGE' is the only word which cannot be form due to the absence of letter 'G' in MERCHANDISE
By using the letters of the given word 'Reasonable ',
'Brain' is the only word which cannot be formed due to the absence of letter 'i'.
Only 'MENTOR' is the word which cannot be formed due to absence of letter 'O'.
The word which cannot be formed from 'SPECIFICATION' is 'FAINTING', because 'G' is not present in given word.
Let us assume the ages of A and B be 3x and 11x years; then
After 3 years the ages of A and B will be 3x + 3 and 11x + 3.
According to question,
After 3 years the ratio of the ages becomes 1: 3,
(3x + 3)/(11x + 3) = 1/3
? 3 (3x + 3) = 1 (11x + 3)
? 9x + 9 = 11x + 3
? 2x = 6
? x = 3
Hence, their present age, 3x = 3 x 3 = 9 years; 11x = 11 x 3 =33 years
Method 1
Let the present age of B and A be x and ( x + 9 ) years; then,
Age of B and A after 10 years will be x + 10 and x + 9 + 10;
According to question,
In 10 years A will be twice as old as B was 10 years ago
2(x - 10) = x + 9 + 10
2x - 20 = x + 19
? 2x - x = 19 + 20
? x = 39 years
Method 2
Let us assume the present age of B and A be x and y years.
According to question,
A is now 9 years older than B,
y = x + 9...........(1)
Again according to question,
In 10 years A will be twice as old as B was 10 years ago
y + 10 = 2( x - 10)................. (2)
now put the value of y from equation (1) in above equation (2)
x + 9 +10 = 2x - 20
? 2x - x = 19 + 20
? x = 39 years
So Present age of B = 39 years.
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