The ages of Tosan and Isa differ by 6 and the product of their ages…

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y.

Correct Answer: Option C

Explanation

x – y = 6…….(i)
xy = 187…….(ii)
From equation (i), x(6 + y)
sub. for x in equation (ii) = y(6 + y)
= 187
y² + 6y = 187
y² + 6y – 187 = 0
(y + 17)(y – 11) = 0
y = -17 or y = 11
y cannot be negative, y = 11
Sub. for y in equation(i) = x – 11
= 16
x = 6 + 11
= 17
∴(x, y) = (17, 11)