grandfather is 10times older than her granddaughter. if grandfather is 56year old .find their present age
Answers
Answer:
LIDO Learning Logo
Book a free class
Ncert solutions
Our top 5% students will be awarded a special scholarship to Lido.
Book a free class now
Set your child up for success with Lido, book a class today!
Book a free class now
Mathematics
Science
chapter-logo
Chapters in NCERT Solutions - Mathematics , Class 8
exercise-logo
Exercises in Linear Equations in One Variable
Question 17
Q9) A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.
Solution
Transcript
Solution:
Let the present age of granddaughter be x years.
Therefore, Grandfather’s age = 10x years.
According to question, 10x=x+5410x=x+54
\Rightarrow10x-x=54⇒10x−x=54
\Rightarrow9x=54⇒9x=54
\Rightarrow x=\frac{54}{9}=6⇒x=
9
54
=6 years.
Hence, granddaughter’s age = 6 years and grandfather’s age = 10 x 6 =60
Step-by-step explanation:
Let grand daughter's age: x
∴ Grandfather's age: 10x
As per the questions
Grandfather's age = Grand daughter's age +56
10x=x+56
9x=56
x=56÷9
x=6.22(6years 2 months)