Form 2 maths

2008-03-25 9:17 pm
The sum of both digits in a two-digit number is 7. If the number is less than 11 times the tens digit by 3. Find the number.

回答 (2)

2008-03-25 9:20 pm
✔ 最佳答案
Let the tens digit be x, the units digit be y,

x + y = 7---(1)
10x + y + 3 = 11x ---(2)
From (2),
x = y + 3 ---(3)
Substitute (3) into (1),
y + y + 3 = 7
2y = 4
y = 2 ---(4)
Substitute (4) into (3),
x = 2 + 3
x = 5
∴The number is 52.
2008-03-25 9:30 pm
Let A be the tens digit and B be singlar digit number

A + B = 7---(1)
B=7-A

10A+B = 11A-3---(2)
10A + 7-A=11A-3
7+9A = 11A-3
10=2A
A=5

B=2

So, the number is 52.


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