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  • Rohans mother is 26 years older than him. The product of their ages 3 years from now will be 360. Formulate the quadratic equation to find their ages and find the present age of mother.

Rohans mother is 26 years older than him. The product of their ages 3 years from now will be 360. Formulate the quadratic equation to find their ages and find the present age of mother.

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Let;Rohan;present;age;be;x;years.;Then,;age;of;his;mother;is;(x+26);years\*Age;of;Rohan;after;3;years=(x+3);years\* After;3;years;the;age;of;mother=(x+26+3);years=(x+29);years\* It;is;given;that;after;3;years;from;now,;the;product;of;ages;of;both;will;be;360;years\* herefore (x+3)(x+29)=360\* The;required;equation;isRightarrow x^2+32x-273=0\*Rightarrow (x+39)(x-7)=0\* herefore x=-39;and;x=7\*ecause x;can;not;be; negative, herefore x=7\* herefore;present;age;of;mother=7+26=33;years

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Deependra Verma

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