19) a) In a 2-digit number, ten's digit is twice the unit digit. If the sum of the digits is 6 . Find
number.
b) Write the number 302 in generalized form.
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1
Answer:
(a) The number is 42.
Step-by-step explanation:
Let the number at tens place be x
and the number at ones place be y.
ACCORDING TO FIRST CONDITION,
x=2y.......(1)
ACCORDING TO SECOND CONDITION,
x+y=6.......(2)
From (1) and (2)
2y+y=6 --> 3y=6
Hence, y=2
and therefore, x=4
So the number is
42.
(b) 306=3x100 + 0x100 + 6x1.
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