Putting b-5 in (1). we get:
the original number - 110
#. Testovi
We considera
number.
b b
Adding (1) and (In. we get: 2b - 10
=> a = 3.
ing b=5 in (1). we get: a +5=8
(10x3+5) = 35.
original number = (10a + b)
-digit number, the hundreds digit is twice the tens digit while the
is thrice
e the tens diair Also the sum of its digits is 18. Find the numb
EXAMPLE 3
Solution
Clearly, the
Thus, a 2
Again, co
digit rest
Then, ti
Clearly
Thus,
wel the tens digit be x. Then the hundreds digit = 2x and the units digit
6x = 18 x = 3.
2x + x + 3x = 18
reds digit = (2x 3) = 6, tens digit = 3 and units digit = (3x3)=9
required number = (100 x 6+10 x 3 +9) = 639,
.: hundreds digit = (2x 3) =
Hence, the required number = (100 xb
the digits is
Rule
ns place. The numEXA
EXERCISE 5A
1. The units digit of a two-digit number
of a two-digit number is 3 and seven times the sum of the dig
number itself. Find the number.
2. In a two-digit number, the digit at the units P!
number, the digit at the units place is double the digit in the tens place. The
the sum of its digits by 18. Find the number.
O-digit number is 3 more than 4 times the sum of its digits. If 18 is added
number, its digits are reversed. Find the number.
added to the
exo
SA
by interchanging
The sum of the digits of a two-digit i
digits exceeds the given number by 9. Find the original number.
The difference between a 2-digit number and the number obtained by interchanging
n the difference between the digits of the number?
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