A two-digit number has digits whose product is 18. The number is 27 more than the number formed by reversing its digits. The tens digit t satisfies t - u = 3 and t*u = 18. Find the tens digit t.

Question

Accepted Answer

6. From u = t - 3, t(t - 3) = 18 gives t^2 - 3t - 18 = 0 = (t - 6)(t + 3). So t = 6 (units digit 3, number 63, reverse 36, 63 - 36 = 27).

A two-digit number has digits whose product is 18. The number is 27 more than the number formed by reversing its digits.
The tens digit t satisfies t - u = 3 and t*u = 18. Find the tens digit t.

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More Class 10 Roots by Factorisation practice

A two-digit number has digits whose product is 18. The number is 27 more than the number formed by reversing its digits.The tens digit t satisfies t - u = 3 and t*u = 18. Find the tens digit t.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Roots by Factorisation practice

A two-digit number has digits whose product is 18. The number is 27 more than the number formed by reversing its digits.
The tens digit t satisfies t - u = 3 and t*u = 18. Find the tens digit t.