Question

the sum of 1/5 and 1/7 of a no. is 144. Find the no.​

Answer 1

Step-by-step explanation:

let the number be X

given (X/5)+ (X/7)= 144

(7X+5X)/35=144

X= (144*35)/9

X= 560

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Answer 2

• Sum of 1/5 and 1/7 of a number is 144.

Let the number be M.

=> $\dfrac{1}{5}$ of M + $\dfrac{1}{7}$ of M = 144

=> $\dfrac{1}{5}$ × M + $\dfrac{1}{7}$ × M = 144

=> $\dfrac{M}{5}$ + $\dfrac{M}{7}$ = 144

Take LCM

=> $\dfrac{7M\:+\:5M}{35}$ = 144

=> $\dfrac{12M}{35}$ = 144

=> 12M = 144(35)

=> 12M = 5040

=> M = $\dfrac{5040}{12}$

=> M = 420

∴ Number is 420.

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✯ Verification :

From above calculations we have M = 420.

Put value of M in this : $\dfrac{7M\:+\:5M}{35}$ = 144

=> $\dfrac{7M\:+\:5M}{35}$ = 144

=> $\dfrac{12M}{35}$ = 144

=> $\dfrac{12(420)}{35}$ = 144

=> $\dfrac{5040}{35}$ = 144

=> 144 = 144