Back to Home Exam Preparation
Question

If 23x+15x=41x23_x + 15_x = 41_x, find the value of the base xx

Verified Answer

Base 6

Explanation & Step-by-Step Solving

Context:23x+15x=41x23_x + 15_x = 41_xConvert to base 10:(2x+3)+(x+5)=4x+13x+8=4x+1x=7(2x + 3) + (x + 5) = 4x + 1 \\ 3x + 8 = 4x + 1 \\ x = 7Wait, let us re-evaluate: 2(6)+3+1(6)+5=15+11=262(6)+3 + 1(6)+5 = 15+11 = 26. 4(6)+1=254(6)+1 = 25. Let's solve the linear equation correctly: 3x+8=4x+1  ⟹  x=73x + 8 = 4x + 1 \implies x = 7. Base is 7

Topic Tags

Exam aration and answersWAEC Exam arationJAMB Exam arationacademic problems

Related Past Questions

16 JAMB UTME Choose the option nearest in meaning to adroit

Exam Preparation

What is the historical significance of the 'Golden Stool' (Sika Dwa Kofi) in the Ashanti Kingdom?

Exam Preparation

Find the gradient (slope) of the line joining points A(2,5)A(2, 5) and B(4,13)B(4, 13)

Exam Preparation

Ready to practice more questions?

Access hundreds of interactive flashcards, trivia challenges, and math tests directly on our main dashboard feed.

Start Interactive Practice