Question

A number plus two-thirds of itself, plus one half of itself plus one-seventh of itself equals 97. Find the number

Answer 1

Let number be x

∴x+

3

2x

+

2

x

+

7

x

=97

∴

42

42x+28x

+21x+6x=97

∴

42

97x

=97

∴x=42

Answer 2

Answer:

hi

Step-by-step explanation:

Heya mate! Here is your answer ✌☺☺

Let the number be x

A number plus two third of itself = x +  = x

A number plus two third of itself plus one half of itself = x +  +  

A number plus two third of itself plus one half of itself plus one seventh of itself = x +  +  +  

According to the question,

x +  +  +  = 97

LCM of 1, 3, 2 and 7 = 42

=> 42 ×  + 42 ×  + 42 ×  = 42(97)

=> 14(5x) + 21(1x) + 6(1x) = 4074

=> 70x + 12x + 6x = 4074

=> 97x = 4074

=> x =  

=> x = 42

∴ The number is 42

Verification :-

42 ×  + 42 ×  + 42 ×  = 97

=> 70 + 21 + 6 = 97

=> 97 = 97

LHS = RHS ✔✔

#Thanks for the question

#Hope it helps