Question

grand father's age is 9 times of granddaughter if grandfather is 56 years older than grand daughter find their present ages

Answer 1

Let the age if granddaughter be x

Let the age of grandfather be 9x

Given, grandfather is 56 years older than granddaughter = x + 56


According to the question,

9x = x + 56

➾ 9x - x = 56

➾ 8x = 56

➾ x = $\dfrac{56}{8}$

➾ x = 7



Present age of granddaughter = x years

➾ 7 years


Present age of grandfather = 9x years

➾ 9 × 7

➾ 63 years

Answer 2

${ \Huge{ \mathsf{{HEY \: \: THERE!}}}}$

${ \Huge{ \mathsf{{SOLUTION!}}}}$

$\tiny{ \implies{ \mathsf{Let \: \: \: the \: age \: \: \: of \: \: \: Granddaughter \: \: be \: x}}} \\ \\ \\ \tiny{ \implies{ \mathsf{So \: \: \: Let \: \: \: the \: age \: \: \: of \: \: \: Grandfather \: \: = \: 9x}}} \\ \\ \\ \tiny{ \implies{ \mathsf{According \: \: to \: \: \: the \: \: \: Question \: \: \: Statement}}} \\ \\ \\ \\ \tiny{ \implies{ \mathsf{ \: Age \: \: of \: Grandfather \: 56 \: \: years \: \: older \: \: than \: her \: \: daughter = x + 56}}} \\ \\ \\ \tiny{ \implies{ \mathsf{ \: \: solving \: \: the \: equation }}}\: \: \\ \\ \\ \\ \tiny{ \implies{ \fbox{ \mathsf{9x = x + 56}}}} \\ \\ \\ \tiny{ \implies{ \mathsf{9x - x = 56}}} \\ \\ \tiny{ \implies{ \mathsf{ \: 8x = 56}}} \\ \\ \\ \tiny{ \implies{ \mathsf{x = \frac{56}{8} = 7}}} \\ \\ \\ \\ \tiny{ \implies{ \mathsf{Present \: \: age \: \: of \: \: grand \: daughter \: = 7 \: years}}} \\ \\ \\ \\ \tiny{ \implies{ \mathsf{Present \: \: age \: \: of \: \: grand \: father \: = x + 56}}} \\ \\ \\ \\ \tiny{ \implies{ \mathsf{Present \: \: age \: \: of \: \: grand \: father \: = 7 + 56 \: \: = 63 \: \: Years}}}$