in a two - digit number, the digit in the units place is four times the digit in the tens place and sum of the digits is equal to 10. what is the number?
surah:
in a two - digit number, the digit in the 10 place is four times the digit in the ones place and sum of the digits is equal to 10. what is the number?
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Solution is in the attachment....
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Answered by
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Let units digit place be x.
Let tens digit place be y.
Given that the digit in units place is four times the digit in the tens place.
= > x = 4y ------ (1)
Given that the sum of digits is equal to 10.
= > x + y = 10
= > 4y + y = 10
= > 5y = 10
= > y = 2
Substitute y = 2 in (1), we get
= > x = 4y
= > x = 4(2)
= > x = 8.
Therefore the number is 82.
Hope this helps!
Let tens digit place be y.
Given that the digit in units place is four times the digit in the tens place.
= > x = 4y ------ (1)
Given that the sum of digits is equal to 10.
= > x + y = 10
= > 4y + y = 10
= > 5y = 10
= > y = 2
Substitute y = 2 in (1), we get
= > x = 4y
= > x = 4(2)
= > x = 8.
Therefore the number is 82.
Hope this helps!
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