Question

Rohit father age is 12 more than twice of Rohit's age and product of their ages is 630. Find Rohit and his father's age​

Answer 1

☆ Question:

□ Rohit father age is 12 more than twice of Rohit's age and product of their ages is 630. Find Rohit and his father's age?

☆ Answer:

■ Let Rohit's Age Be 'x'.

▪ According to the First condition,

=》Rohit's Father Age = 2x + 12

▪ According to the Second Condition,

$x \times (2x + 12) = 630 \\ 2 {x}^{2} + 12x = 630 \\ 2 {x}^{2} + 12x - 630 = 0 \\ dividing \: by \: 2 \\ {x}^{2} + 6x - 315 = 0 \\ {x}^{2} + 21x - 15x - 315 = 0 \\ x(x + 21) - 15(x + 21) = 0 \\ (x + 21)(x - 15) = 0 \\ x + 21 = 0 \: or \: x - 15 = 0 \\ x = - 21 \: or \: x = 15$

=》Since, the age cannot be negative.

• Therefore, x = 15

=》Therefore Rohit's Age is 15 years.

=》Rohit Father's Age = 2x + 12 = 2 × 15 + 12 = 42

=》Therefore, Rohit's Father Age is 42 years.

Thank You!

@Anant

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