Given :-A grandfather is ten times older than his granddaughter.He is also 54 years older than her.To Find :-What is their present ages.Solution :-Let,\mapsto \bf{Granddaughter's\: present\: age =\: y\: years}↦Granddaughter ′ spresentage=yyears\mapsto \bf{Grandfather's\: present\: age =\: 10y\: years}↦Grandfather ′ spresentage=10yyearsAccording to the question,\implies \sf 10y =\: y + 54⟹10y=y+54\implies \sf 10y - y =\: 54⟹10y−y=54\implies \sf 9Y =\: 54⟹9y=54\implies \sf y =\: \dfrac{\cancel{54}}{\cancel{9}}⟹y= 9 54 \implies \sf y =\: \dfrac{6}{1}⟹y= 16 \implies \sf\bold{\purple{y =\: 6\: years}}⟹y=6yearsHence, the REQUIRED ages of granddaughter and grandfather are :➲ Present age of Granddaughter :\longrightarrow \sf Present\: Age_{(Granddaughter)} =\: y\: years⟶PresentAge (Granddaughter) =yyears\longrightarrow \sf\bold{\red{Present\: Age_{(Granddaughter)} =\: 6\: years}}⟶PresentAge (Granddaughter) =6years➲ Present age of Grandfather :\longrightarrow \sf Present\: Age_{(Grandfather)} =\: 10y\: years⟶PresentAge (Grandfather) =10yyears\longrightarrow \sf Present\: Age_{(Grandfather)} =\: 10 \times 6\: years⟶PresentAge (Grandfather) =10×6years\longrightarrow \sf\bold{\red{Present\: Age_{(Grandfather)} =\: 60\: years}}⟶PresentAge (Grandfather) =60years{\small{\bold{\UNDERLINE{\therefore\: The\: present\: age\: of\: granddaughter\: and\: grandfather\: is\: 6\: years\: and\: 60\: years\: respectively\: .}}}} ∴Thepresentageofgranddaughterandgrandfatheris6yearsand60yearsrespectively.