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RD Sharma Solutions Class 8 Mathematics Solutions for Linear Equation in One Variable Exercise 9.4 in Chapter 9 - Linear Equation in One Variable
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A number consists of two digits whose sum is 9. If 27 is subtracted from the number the digits are reversed. Find the number.
Answer:
We know that one of the digit be ‘x’
The other digit is 9-x
So, the two digit number is 10(9-x) + x
The number obtained after interchanging the digits is 10x + (9-x)
10(9-x) + x – 27 = 10x + (9-x)
Upon simplification,
90 – 10x + x – 27 = 10x + 9 – x
-10x + x – 10x + x = 9 – 90 + 27
-18x = -54
x = 54/18
= 9/3
= 3
The two digit number is 10(9-x) + x
Substituting the value of x we get,
10(9-x) + x
10(9 - 3) + 3
10(6) + 3
60+3
63
∴ The number is 63.
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