asked 79.0k views
2 votes
my son is 7 times older than my grandson and i am 12 times older than my grandson .if you added all of our ages together the sum is 100 years. can you tell me my age in years

2 Answers

2 votes
The equation would be x+7x+12x = 100
solving gives x=5
12×5=60
7×35

5+35+60=100

The age/answer is 60
answered
User Davegravy
by
7.1k points
3 votes

Let us suppose my grandson age is x years.

Given my son is 7 times older my grandson so my grand son age =7x.

My age is 12 times older my grandson age so my age = 12x

Sum of all the ages is given as 100 years

We can form an equation with this information

x+7x+12x=100

Adding all the like terms

20x=100

Dividing both sides by 20

x=5

The question is asking to find my age.

My age=12x=12(5)=60

My age is 60 years.

answered
User Astolfo
by
7.6k points

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