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The sum of a two digit …

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The sum of a two digit no. And the no. Formed by interchanging it's digit is 110. If 10 is subtracted from the 1st no. ,The new no. is 4 more than 5 times the sum of the digits in the 1st no. Find the 1st no.

Posted by Arshu K 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Cbse Guide 6 years, 9 months ago

Let the two digit number be 10x + y Number formed by interchanging the digits = 10y + x According to the question, 10x + y + 10y + x = 110 ⇒ x + y = 10 ------------------ (1) 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number ⇒ (10x + y - 10) = 5(x + y) + 4 ⇒ 10x + y - 10 = 5x + 5y + 4 ⇒ 5x - 4y = 14 --------------- (2) Solving equations 1 and 2, we get x = 6 and y = 4 Therefore, the first number is 10(6) + 4 i.e. 64.

Aman Kumar 6 years, 9 months ago

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