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ICSE Class 10 Answered

Four years ago, a father's age was square of his daughter's age. Nine years hence, his age will be two more than thrice his daughter's age. Find their present ages.
Asked by khushdab | 02 Apr, 2020, 04:19: PM
answered-by-expert Expert Answer
4 space years space ago
let
daugther apostrophe straight s space age equals straight x
father apostrophe straight s space age equals open parentheses straight x close parentheses squared

present space age
daugther apostrophe straight s space age equals straight x plus 4
father apostrophe straight s space age equals open parentheses straight x close parentheses squared plus 4

9 space years space hence
daugther apostrophe straight s space age equals straight x plus 4 plus 9
father apostrophe straight s space age equals open parentheses straight x close parentheses squared plus 4 plus 9
condition
open parentheses straight x close parentheses squared plus 4 plus 9 equals 2 plus 3 open parentheses straight x plus 4 plus 9 close parentheses
open parentheses straight x close parentheses squared plus 13 equals 2 plus 3 straight x plus 39
straight x squared minus 3 straight x minus 28 equals 0
straight x equals 7
straight x equals negative 4... left parenthesis age space can apostrophe straight t space be space negative right parenthesis

present space age
daugther apostrophe straight s space age equals straight x plus 4 equals 7 plus 4 equals 11
father apostrophe straight s space age equals open parentheses straight x close parentheses squared plus 4 equals 49 plus 4 equals 53
Answered by Arun | 03 Apr, 2020, 11:15: AM
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