1.

mother is 25 years old and her son's find son's age if after 8 years ratio of son's is to mother age will be 4_9

Answer»

Let son's age is xafter 8 years, x+8/25+8=4/9x+8/33=4/99(x+8)=132x+8=132/9x+8=14.66x=6.66

let sons age be x so mother's age will be x+25

after 8 yrs sons age = x+8mother's age = x+25+8 = x+33

as per given condition x+8/x+33 = 4/9by cross multiply 4(x+33)=9(x+8)4x+132 = 9x+72subtracting 4x on both sides ( always try to take variables first this makes calculation easy)4x+132-4x = 9x+72-4x132=5x+725x+72=132 ( i am just interchanging the places)subtracting 72 on both sides5x+72-72=132-725x=60dividing by 5 on both sides5x/5 = 60/5x=12sons age 12mothers age 12+25 =37


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