7. A number consists of two digits of which ten's
digit exceeds the unit digit by 7. The number
itself is equal to 10 times the sum of its digits.
Find the number.
thon Beena In 10
Answers
Answered by
3
Answer:
70
Step by step explanation:
Let the units digit be x
Given,
ten's digit = 7 + x
This gives us the entire number :-
10 ( 7 + x) + x
= 70 + 10x + x
= 70 + 11x
Also,
The number = 10 ( x + 7 + x)
= 70 + 20x
70 + 11x = 70 + 20x
Transpose 70 to l.h.s
Transpose 11x to r.h.s
==> 9x = 0
Hence, x = 0
Enter this value into the entire number equation.
70 + 11x = 70 + 0
= 70
Hence, the number is 70.
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