# ICSE Class 10 Answered

**In a two digit number,the unit's digit exceed its ten's digit by 2 .The product of the given number and the sum of the digit is equal to 144 .Find the number**

Asked by Lakhan123499 | 19 May, 2018, 02:01: PM

Expert Answer

Let ten's digit number be x.

According to the question units place should be x + 2.

Number is 10x + (x + 2) = 11x + 2

According to the condition stated in the quetsion,

(x + 2)(11x + 2) = 144

Solving this quadratic equation we get x = 2

Hence, number is 24.

Answered by Sneha shidid | 21 May, 2018, 09:19: AM

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