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ICSE Class 9 Answered

5 years ago, the sum of ages of a family of 6 added to 182 years. 2 years later, one of the member died at 50 and a child was born . After another 2 years, another member died at the age of 40 and a child was born .The current average age of the family is
Asked by Rp7350876 | 27 Mar, 2020, 09:19: AM
answered-by-expert Expert Answer
begin mathsize 18px style straight a comma space straight b comma space straight c comma space straight d comma space straight e comma space straight f space be space the space family space members space present space ages
5 space years space ago
straight a minus 5 plus straight b minus 5 plus straight c minus 5 plus straight d minus 5 plus straight e minus 5 plus straight f minus 5 equals 182
present space sum
straight a plus straight b plus straight c plus straight d plus straight e plus straight f equals 182 plus 30 equals 212
two space years space later
let space straight f plus 2 equals 50
straight f equals 48
straight g space is space born
but space straight g equals 0
straight a plus 2 plus straight b plus 2 plus straight c plus 2 plus straight d plus 2 plus straight e plus 2 equals 212 plus 10 minus 48
straight a plus straight b plus straight c plus straight d plus straight e equals 164
4 space years space later
let space straight e space plus space 4 space equals 40
straight e equals 36
straight g equals 2
and space
new space straight f space equals 0
straight a plus 4 plus straight b plus 4 plus straight c plus 4 plus straight d plus 4 plus straight g equals 164 minus 36 plus 2 plus 16
straight a plus 4 plus straight b plus 4 plus straight c plus 4 plus straight d plus 4 plus straight g equals 146
now space there space are space 6 space members
Avg space age equals 146 divided by 6 equals 24.33

end style
Answered by Arun | 28 Mar, 2020, 06:01: PM
ICSE 9 - Maths
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