Question

A grandfather is six times older than his granddaughter. He is also 45 years older than her.

Find their present ages​

Answer 1

GIVEN:-

• A grandfather is six times older than his granddaughter.

• He is also 45 years older than her.

TO FIND:-

• Their Present ages.

Now,

$\implies\rm{Let\:the\:granddaughter's\:age\:be\:x}$

$\implies\rm{grandfather's\:age = 6x}$.

Atq

$\implies\rm{ x + 45 = 6x}$

$\implies\rm{ 5x = 45}$

$\implies\rm{ x = \dfrac{\cancel{45}}{\cancel{5}}}$

$\implies\rm{ x = 9}$

Therefore,

$\implies\tt{grandaughter's age = 9}$

$\implies\tt{ grandfather's age = 6x = 54}$

Answer 2

Step-by-step explanation:

x+45=6x

45=6x-x

45=5x

the value of x is 9

granddaughter =9

grandfather 9×6=54