Solve the following problems by forming equations :Sum of digits of a two digit number is 8. If their digitsare interchanged, the new number is increased by 18than the original number. Find the original number.12) The units digit is double than tens digit of a twodigit number. If you interchange the digits and add theresulting number to the original number, you get 66.What is the original number?(3) The present age of Hitesh's mother is five times thepresent age of Hitesh. After 6 years, the age of hismother will be thrice the age of Hitesh. Find the presentage of Hitesh.the (4) At present, the age of Riya's mother is seven times theage of Riya. Ten years hence, the age of the mother willbe three times the age of Riya. Find their present ages.Ans. (1) 35 (2) 24 (3) 6 years (4) Age of Riya = 5 years;Age of Riya's mother = 35 years

Solve the following problems by forming equations :Sum of digits of a

1.	Solve the following problems by forming equations :Sum of digits of a two digit number is 8. If their digitsare interchanged, the new number is increased by 18than the original number. Find the original number.12) The units digit is double than tens digit of a twodigit number. If you interchange the digits and add theresulting number to the original number, you get 66.What is the original number?(3) The present age of Hitesh's mother is five times thepresent age of Hitesh. After 6 years, the age of hismother will be thrice the age of Hitesh. Find the presentage of Hitesh.the (4) At present, the age of Riya's mother is seven times theage of Riya. Ten years hence, the age of the mother willbe three times the age of Riya. Find their present ages.Ans. (1) 35 (2) 24 (3) 6 years (4) Age of Riya = 5 years;Age of Riya's mother = 35 years
Answer» 3). Let the present age of hitesh be "x' years.Let age of hitesh mother be 5x years. After 6 year,Present age of hitesh= (x+6) yearsPresent age of mother=(5x+6)yearsAccording to the questions,Hitesh mother thrice the age of hitesh,3(x+6) = (5x+6)or,3x+18= 5x+6or,3x-5x= 6-18or,-2x. = -12or,x. = {-12}÷{-2}or,x. =. 6present age of hitesh= 6yearsPresent age of hitesh mother= 5x =5(6) = 30 years