Seven years ago,Rishik was seven times as old as his son Vihaan . After three years, Rishik will be three times as old as Vihaan.Represent this situation algebraically and graphically.
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let age of vihaan , 7 years ago was x years
so age of rishik , 7 years ago was 7x
today's their ages,
vihaan -- x + 7
rishik -- 7x+7
after three years
age of vihaan -- x + 7 + 3 = x + 10
age of rishik -- 7x+7 + 3 = 7x+ 10
now 7x+ 10 = 3 ( x + 10 )
7x + 10 = 3x + 30
7x - 3x = 30 - 10
4x = 20
x = 5
so vihan s today's age is
x+7 = 5+7 = 12
and
rishiks today's age is
7x+ 7 = 7 ×5 + 7 = 35 +7 = 42
so age of rishik , 7 years ago was 7x
today's their ages,
vihaan -- x + 7
rishik -- 7x+7
after three years
age of vihaan -- x + 7 + 3 = x + 10
age of rishik -- 7x+7 + 3 = 7x+ 10
now 7x+ 10 = 3 ( x + 10 )
7x + 10 = 3x + 30
7x - 3x = 30 - 10
4x = 20
x = 5
so vihan s today's age is
x+7 = 5+7 = 12
and
rishiks today's age is
7x+ 7 = 7 ×5 + 7 = 35 +7 = 42
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