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ICSE Class 8 Answered

A number consists of two digits, of which the tens digit exceeds the ones digit by 3. The number itself is equal to seven times the sum of the digits. Find the number.
Asked by sujdps | 05 Aug, 2018, 07:53: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space ten apostrophe straight s space digit space equals space straight x space and space unit apostrophe straight s space digit space equals space straight y
then space the space two minus space digit space number space equals space 10 straight x space plus space straight y
According space to space the space condition comma
straight x space minus space 3 space equals space straight y
rightwards double arrow straight x space minus space straight y space equals space 3 space.... left parenthesis straight i right parenthesis
and space
10 straight x space plus space straight y space equals space 7 left parenthesis straight x space plus straight y right parenthesis
rightwards double arrow 3 straight x space equals space 6 straight y
rightwards double arrow straight x space minus space 2 straight y space equals space 0.... left parenthesis ii right parenthesis
Subtracting space left parenthesis ii right parenthesis comma space from space left parenthesis straight i right parenthesis
straight y space equals space 3
Substituting space straight y space equals space 3 comma space in space left parenthesis straight i right parenthesis
straight x space equals space 6
and space the space two minus digit space number space is space 10 straight x space plus space straight y space equals space 10 space cross times space 6 space plus space 3 space equals space 63
end style
Answered by Yasmeen Khan | 06 Aug, 2018, 10:40: AM
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