the sum of the digits of a two digit numbers is 7. if the digits are reversed,the number increased by 3 equals 4 times the original number. find the original number.
santhimedanki11220:
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Answered by
1
Step-by-step explanation:
Let the original number be 10a+b
given a+b=7 --------(1)
10b+a+3= 4 (10a+b)
10b+a+3= 40a+4b
39a-6b= 3
39a-6(7-a)=3 from (1)
45a-42=3
45a=45
a=1
b=6
a=1, b=6
so, the original number is 16
clearfiy my doudt
where
in second step why u take 10 on both sides
because it is two digital number
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