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A two digit number is 4 …

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A two digit number is 4 times the sum of its digits.If 18 is adding to the number; the digits are reversed. Find the number?

Posted by Surya Pratap 7 years ago

CBSE > Class 10 > Mathematics

1 answers

Parth Sharma 7 years ago

Let the digits be x and y Then the two-digit number is 10x + y Given that: 10x + y = 4 (x + y) 10x + y = 4x + 4y 6x = 3y y = 2x --------------- 1 And 10x + y + 18 = 10y + x Or 9y – 9x = 18 ---------------- 2 Substitute the value of y in eqn 2 18x – 9x = 18 9x = 18 x = 2 Therefore y = 2x = 2*2 = 4 And the number is 10x + y = 10*2 + 4 = 24 Answer: The two-digit number is 24. I think it helpful for you.

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CBSE > Class 10 > Mathematics