the sum of two-digit number and the number obtained by reversing its digits is 176. The sum of digits is 16, what is the number?
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let x be in tenths place and y be in units place.
The desired no is 10x+y
now,the no.obtained by interchanging is 10y+x
According to the question we have,
10x+y+10y+×=176
11x+11y=176
11(x+y)=176
x+y=16
Is the question right?cz the next part says the sum of the digits is 16....
8334812253shinam:
i mean how is it possible i got x+y as 16 above...
the answer is 79 but i want to know how?????????
x+y=16.multipying by 2,2x=16,x=8 and 2y=16=y=8,x=8and y=8 so the no.10x+y=10×8+8=88 is the no. Check 88+88=176. therr are two possibilities either 79 or 88.like 79 is the no ,if we reverse them we will get 97, 79+97=176
88 is also correct if we revers we will get the same no 88
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