a man is 4 times as old as his son. after 16 year he will be only twice as old as his son.find their present ages
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let the present age of father be x and the son be y.
Now, x = 4y ---------- (1)
After 16 years,
age of father will be x+ 16
age of son will be y +16
Therefore, x + 16 = 2( y + 16)
x + 16 = 2y + 32
x = 2y + 16
or 4y = 2y + 16 {Using equation (a)}
2y = 16
y = 8
Plugging back the value of y in equation (1), we get:
x = 4*8 = 32
Hence, the present age of father is 32 years and present age of son is 8 years.
Now, x = 4y ---------- (1)
After 16 years,
age of father will be x+ 16
age of son will be y +16
Therefore, x + 16 = 2( y + 16)
x + 16 = 2y + 32
x = 2y + 16
or 4y = 2y + 16 {Using equation (a)}
2y = 16
y = 8
Plugging back the value of y in equation (1), we get:
x = 4*8 = 32
Hence, the present age of father is 32 years and present age of son is 8 years.
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