Question

Answer with steps by step​

Answer 1

Let father’s age be x years and let that of the son be y years.

Now, x+y=45

and,(x-5)(y-5)=34

So,xy -5x-5y+25=34

xy-5(x+y)+25=34

xy-5(45)+25=34

xy-225+25=34

xy=34–25+225

xy=9+225

xy=234

Now, x+y=45 and xy=234

and, 234’s factors are 1,2,3,6,9,13,18,26,39,78,117,234.

We need to find two factors which when added give 45 and when multiplied, give 234.

Clearly, 39 and 6 are two such numbers. { 39+6=45 and 39 x 6=234}

So, x=39 and y=6

So your answer is option B

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