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NCERT solution class 10 solution to this

1. LEVEL-1
1. Find two consecutive numbers whose squares have the sum 85.
a Divide 29 into two parts so that the sum of the
4 Two squares have sides x cm and (x + 4) cm.
ha the sides of the squares.
4, The sum of two numbers is 48 and their product is 432. Find the numbers.
5, If an integer is added to its square,
‘ quadratic equation.
6. Find the whole number which when decreased b:
; ofthe number.
7, Find two consecutive natural numbers whose product is 20.
à The sum of the squares of two consecutive odd positive integers is 394. Find them.
: [CBSE 2009, 2017]
9. The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find
the numbers. a
10. The sum of a number and its positive square root is 6/25. Find the number.
11, The sum of a number and its square is 63/4, find the numbers.

[CBSE 2000]
squares of the parts is 425.

The sum of their areas is 656 cm?. Find

the sum is 90. Find the integer with the help of

y 20 is equal to 69 times the reciprocal

2. an o R

12. There are three consecutive integers such that the square of the fist increased by the
Brodit ofthe other two gives 154. What ae the integer”

is 300. Determi

ib roduct of two successive integral multiples of 5 is MINE the
The bers is 31

14: The sum of the squares of two numbers is 233 and one of the numbers is 3 less thay
twice t

the other number. Find the numbers.

15. Find the consecutive even integers whose squares

have the sum 340.
4
16. The difference of two numbers is 4. Ifthe difference of their reciprocals is 37, fing

the numbers, [CBSE 2008)

17. Find two natural numbers whi ‚hose squares have the sum 117
0 natural numbers which differ by 3 and whose squares has
18: The sum of the squares of three consecutive natural numbers is 149, Find ty
numbers.
19. The sum of two numbers is 16. The sum of their reciprocals is 1/3. Find the numbers,

{CBSE 203)

20.

Determine two consecutive multiples of 3 whose product is 270.
22: The sum of a number and its reciprocal is 17/4. Find the number.
22. A two-digit number is such that the product of its digits is 8. When 18 is subtracteg
from the number, the digits interchange their places. Find the number.
25. A two-digit number is such thatthe product ofthe digits is 12. When 36 is added 1
74, number the digits interchange their places. Determine the number,
+ A two-digit number is such that the product ofthe digits is 16. When 54 is subtracted
from thenumber, the digits are interchanged. Find the number.
25: Two numbers differ by 3 and their productis 504. Find the numbers. [CBSE2002c]
26. Twonumbersdifferby 4and their productis 192. Find the numbers. [CBSE 200€]
27. two digitnumberis4times the sum ofits digits and twice the product of is digi. rd
28. The difference of the squares of two positive integers is 180. The square ofthe small
number is 8 times the larger, find the numbers. [CBSE201)
sum of their reciprocals is 1/4. Find the numbers
[CBSE 205
sum of theirreciprocals L and + is3/10
* (cBse mes)
reciprocals is 1/2. Find the numbers
à [CBSE 20121
ers are such that the sum of the square ofthe fst
ithe integers. [CBSE 2010!

29.

mbersis88.1fthe larger number is 5 less than twit
number [CESE
80. The square of the smaller numbers

E NCERTI

of whose squares is 970. [CBSE 204)
difference of their reciprocas
[CESE ml

ersis 394. Find the numbers

[CBSE 2014)