Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators
MATHS
Asked by Chelsy

The sum of two numbers is 45. The larger number is 3 less than twice the smaller. Find the two numbers?

Let's use simultaneous equations for this question. y will be the larger number and x being the smaller number. The sum is 45 so: x + y = 45 (eq1) The larger number is 3 less than twice the smaller number. Changing this to an equation becomes y = 2x - 3 (eq2) Let's use substitution and substitute eq2 into eq1 x + (2x - 3) = 45 Simplify 3x - 3 = 45 Move the -3 to the right hand side, this will change the sign 3x = 45 + 3 3x = 48 Divide both sides by 3 x = 16 Now that we know the value of the smaller number, we can substitute it into eq2 to find y y = 2x - 3 Becomes y = 2(16) - 3 y = 29 Let's check 29 + 16 = 45

Nuzha's profile picture
Verified
Nuzha Ramankhan
·

47 students helped

Similar Maths questions

Maths

Asked by Lucy

A=b-x/x

Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators

Badge showing the text 'New'Learn Maths with Video Lessons

GCSE Maths - Numbers
1hr 28m · 8 videos
Paja's profile picture
Paja Kruzikova
·

442 students helped

GCSE Maths - Numbers
Quadratic Inequalities
28m · 3 videos
Iqbal's profile picture
Iqbal Lokman
·

1.3k students helped

Quadratic Inequalities
GCSE Maths - Ratios
1hr 32m · 9 videos
Paja's profile picture
Paja Kruzikova
·

442 students helped

GCSE Maths - Ratios
GCSE Maths - Algebra A
56m · 6 videos
Paja's profile picture
Paja Kruzikova
·

442 students helped

GCSE Maths - Algebra A

Premium video lessons available now on Scoodle

50% discount available

Scoodle's video lessons make learning easy and fun. Try it for yourself, the first lesson is free!