Q13 of 80 Page 56

Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has 7 sweets left. How many did he have to start with?

Let the total number of sweets with Sekhar be x.

He gave a quarter to Renu.


∴ Number of sweets given to Renu = .


Number of sweets given to Raji = 5.


Number of sweets left = 7.


According to the given condition,



⇒


⇒ (Transposing x to LHS and 12 to RHS)


(LCM of 1 and 4 is 4)



⇒ -3x = -12 × 4 (Transposing 4 to RHS)


-3x = -48


⇒ x = (Transposing -3 to RHS)


x = 16


∴ The number of sweets that Sekhar had at the start is 16.


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