This is the Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for

ICSE & CBSE Board.

If 45 is substracted from twice the greater of two numbers, it results in the other number. if given number is

substracted from twice the smaller number, it results in the greater number.

you have to find the numbers.

This is the Question Number 7 Of Exercise 3E of RS Aggarwal Solution.

Deepak BoraNewbie

# If 45 is substracted from twice the greater of two numbers, it results in the other number. if 21 is substracted from twice the smaller number, it results in the greater number. Find the numbers.

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let x be greater number and y be smaller number.

as per the question,

1st equation- 2x – 45 = y

2nd equation – x = 2y – 21

⇒ x+21/2 = y

substituting the value of y in equation 1, we get

2x – 45 = x+21/2

⇒ 2(2x-45) = x+21

⇒ 4x – x = 21+ 90

⇒ x = 111/3

∴ x = 37

so, greater no. is 37.

on putting value of x in equation one we get,

2x – 45 = y

2×37 – 45 = y

⇒ 74 – 45 = y

∴ y = 29

so, value of greater no. and smaller no. respectively are :- 37 and 29 respectively.