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A two-digit number equals 4 times the sum of its digits, and the product of its digits is 18. The number is:
Determine it.

Class 10Quadratic Word ProblemsAlgebra — Quadratics

A36
B63
C24
D29

Step-by-Step Solution

Number

10 t + u = 4 (t + u) - > 6 t = 3 u - > u = 2 t

. Product

t u = 18 - > t (2 t) = 18, t^{2} = 9, t = 3, u = 6

. Number 36.

Answer: A) 36

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