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