Two-digit number

Two-digit number

Secondary 2
6 marks
TGM Original Questions

The digits of a two-digit number add to \(12\). The number is four times the sum of its digits. Let \(x\) be the tens digit and \(y\) be the units digit.

  1. Write down an expression, in terms of \(x\) and \(y\), for the two-digit number.[1]
  2. Form two equations connecting \(x\) and \(y\).[2]
  3. Solve the equations obtained in (b) and hence find the two-digit number.[3]

Solution:

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Answer:(a) \(10x+y\) (b) \(x+y=12,10x+y=4(x+y)\) (c) \(x=4,y=8,\text{ number}\hspace{0.5em}48\)

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