Kalyan's present age is one third his mothers present age . If the mothers age was 5 times his age 6 years ago ,what are their present age

Current ages:

Let Kaylan's present age be x years

Since his age is a third of his mother's present age:

mother's age * (1/3) = Kaylan's age

mother's age * (1/3) = x        

mother's age = 3x                                     [multiplying both sides by 3]

Kaylan's mother's age would be 3x years

Their ages 6 years ago:

Kaylan's age: x-6 years

Mother's age: 3x-6 years

We are told that mother's age was 5 times Kaylan's age, 6 years ago. So,

5*(Kaylan's age 6 years ago) = (Mother's age 6 years ago)

replacing the values

5(x - 6) = 3x-6

5x - 30 = 3x-6

2x - 30 = -6                                             [subtracting 3x from both sides]

2x = 24                                                    [adding 30 on both sides]

x = 12                                                       [dividing both sides by 2]

Hence, x = 12

Kaylan's present age(x) = 12 years

Mother's present age(3x) = 3*12 = 36 years

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.