1.

Four years ago, age of a person was 4 times that of his son. Six years later, the age of the person will be 10 years less than thrice the age of his son. Find the present ages of the person and his son

Answer» Let the present ages of the person and his son be x years and y years respectively. Given,
`x - 4 = 4(y -4)`
`rArr x -4 = 4y -16`
`rArr x - 4y = -12` (1)
And also given,
`x + 6 = 3(y + 6) -10`
`rArr x +6 = 3y + 8`
`rArr x -3y = 2` (2)
By solving the Eqs. (1) and (2), we get,
`x = 44 and y = 14`


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