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CBSE Class 10 Answered

a two digit number is four times the sum and three times the product of its digits .find the number  
Asked by kanchi27.kr | 04 Apr, 2019, 05:30: PM
answered-by-expert Expert Answer
Let unit-place digit be x and tenth-place digit be y. then number is x+10y
 
Given : Number equals 4 times of sum of digits,   x+10y = 4(x+y)  or 3x-6y = 0  or x = 2y .......................(1)
 
Given: Number equals 3 times product of its digits,  x+10y = 3(xy)   ...................(2)
 
By substituting for x from eqn.(1) , eqn.(2) is written as,   12y = 6y2  or y = 2 hence x = 4
 
number is 20+4 = 24
Answered by Thiyagarajan K | 04 Apr, 2019, 08:50: PM

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