Age of child = sum of age of husband , wife and child - sum of age of husband and wife.
= [(20 x 3) - (23 x 2 + 5 x 2)] years
= 4 years.
Let the original expenditure be Rs. y per day ,
Then, y / 35 - [( y + 42 ) / 42 ] = 1
? 42y - 35 ( y + 42 ) = 35 x 42
? 7y = 35 x 42 + 35 x 42
? y = ( 2 x 35 x 42 ) / 7
= 420
Hence , the original expenditure is Rs . 420
Let the number of wickets taken before the last match = y
Bowler's overall average = total run scored / total wicket taken by bowler
Then, (12.4y + 26 ) / (y + 5) = 12
? x = 85
Sum of 5 consecutive integers
x + ( x +1 ) + ( x +2 ) + ( x + 3 ) + ( x +4 ) = 5n
? 5x + 10 = 5n
? x = ( n ? 2 ) ......(i)
Average of 7 consecutive integers
= [( 5x + 10 ) + ( x + 5 ) + ( x + 6 )] / 7
= 7x + 21 / 7
= x + 3 .....(ii)
from eq. (i) and (ii)
New average = x + 3 = ( n ? 2 + 3 ) = n + 1
So , the new average increases by 1 .
From question
M + T + W + TH = 4 x 38° = 152°
? T + W + TH =152° ? 30° = 122°
Again from question
? T + W + TH + F = 4 x 40° = 160°
? F = 160° ? 122°
= 38°
Thirteenth Result = sum of all 25 results - sum of first 12 results - sum of last 12 results.
= 25 x 18 - 12 x 14 ? 12 x 17
=78
Let the age of youngest child be y.
Then y + ( y + 2 ) = ( 24 x 6 ) - ( 24 x 4 + 4 x 10)
= 144 - 136
? 2y + 2 = 8
? y =3 years
M + T + W = 3 x 37 = 111° C .....(1)
T + W + Th = 3 x 34 = 102 ° C ......(ii)
Let M = y
Then, Th = 4y/5
subtraction (ii) from (i) we get,
M - Th = 9° C
? y - 4y / 5 = 9° C
? y = 45° C
? Temperature on thursday = (4 x 45) / 5° C
= 36° C
Increase in sum of age during 3 years = 3 x 5 years
= 15 years
So , the difference between ages of old and new member is 15 years
Decrease in sum of age = 11 x 2 months
= 1 year 10 months
Total age of reserves = (17 + 20 ) years - (1 year 10 month)
= 35 years 2 months
Average age of the reserves = (35 years 2 months ) / 2
= 17 years 7 months
Total age of Ram and shyam 5 years ago
= 2 x 20 = 40 years
? Total age of Ram and Shyam at present
= 40 + 5 + 5 = 50 years
Mohan's age now =90 - 50 years = 40 years
Mohan's age 10 years hence = 40 + 10 years
= 50 years
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