EXERCISE 2.8 Q 1 The sum of square of two consecutive odd integers is 34. Find the integers. Q 2 Find two consecutive numbers, whose product is 132. interchanged, the new numbers becomes 27 less than the original number. Find the Q 3 A natural number consists of two digits whose product is 18. If the digits are number. Q 4 The numerator of a fraction is 2 less than denominator. If 2 is added to both numerator and denominator, then sum of the new and original fraction is 94÷ 63 Find the fraction. Q 5 One year ago, a man was 8 times as old as his son. Now, his age is equal to the square of his son's age. Find their present ages. Q 6 If sum of co-ordinates of a point is 9 and sum of their squares is 41. Find the co-ordinates of the point. Q 7 The sum of squares of three consecutive integers is 110. Find the numbers. Q 8The sum of two numbers is 15. If the sum of their reciprocal is 3÷ 10. find the number
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Let the numbers be a−1,a+1
(a−1)
2
+(a+1)
2
=34
a
2
+1−2a+a
2
+1+2a=34
2a
2
+2=34
2a
2
=32
a
2
=16
a=±4
∴ numbers are 4−1,4+1 or −4−1,−4+1
3,5 or −5,−3
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