0

Guest

Courses New

What should be added to twice the rational number −73 to get 37?

What should be added to twice the rational number −73 to get 37?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
Hint: Assume that the number that should be added is x. Now, first find the value of twice the rational number −73 by multiplying the numerator with 2. Now, take the sum of the obtained rational number with x and equate it with 37 to form a linear equation in x. Solve this equation for the value of x to get the answer. Complete step by step solution: Here we have been asked to find the number that must be added to twice the rational number −73 to get 37 as the resultant fraction. Now, let us assume that the number that should be added is x. The meaning of twice of −73 means we need to multiply the numerator of this rational number with 2, so we get, ⇒2×(−73)=−143 So we need to add −143 with x to get 37, therefore the expression will be given as: ⇒x+(−143)=37 Clearly this is a linear equation in x so we need to solve for the value of x. Leaving x in the L.H.S and taking all other terms to the R.H.S we get, ⇒x=37−(−143) We know that (−1)×(−1)=1 so we get, ⇒x=37+143 Taking the L.C.M of 7 and 3 which is 21 we get, ⇒x=(3×3)+(14×7)21⇒x=9+9821∴x=10721 Hence the required number that must be added is 10721. Note: You must remember how to add and subtract two rational numbers. To find the value of twice the rational number always multiply the numerator with 2 and not the denominator. Note that to add fractions we take the L.C.M of their denominators and not numerators. Here both 3 and 7 were prime numbers and we know that the L.C.M of two prime numbers is simply their product.

Think You Can Provide A Better Answer ?

Other Related Questions on 6 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More