The average age of four brothers is 12 years. If the age of their mother is also included, the average is increased by 5 years. The age of the mother (in years) is

37 years

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43 years

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48 years

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53 years

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Solution

The correct option is A 37 years
Average age of 4 brothers $= 12 y r s$ .
Total age of 4 brothers $= 4 \times 12 = 48 y r s$ .
Average of 4 brothers + mother $=$ (5 persons)
$= 12 + 5 = 17 y r s$ .
$∴$ Total age of 4 brothers+mother $= 5 \times 17 = 85 y r s$ .
$∴$ The age of mother $= 85 - 48 = 37 y r s$ .

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The average age of four brothers is 12 years. If the age of their mother is also included, the average is increased by 5 years. The age of the mother (in years) is

The correct option is A 37 yearsAverage age of 4 brothers =12yrs.Total age of 4 brothers =4×12=48yrs.Average of 4 brothers + mother = (5 persons)=12+5=17yrs.∴ Total age of 4 brothers+mother =5×17=85yrs.∴ The age of mother =85−48=37yrs.