2 Eight times of a number riduced by
10 is equal to the sum of six times
the number and 4. Find the number
Answers
Step-by-step explanation:
Let the number be x
According to question,
8x - 10 = 6x + 4
8x - 6x = 4 + 10
2x = 14
x = 7
The number = 7
Answer:
The required number is 7
Step-by-step explanation:
Given :
Eight times of a number reduced by 10 is equal to the sum of six times the number and 4
To find :
the number
Solution :
Let the number be 'a'
Eight times the number = 8 × a = 8a
Eight times the number reduced by 10 = 8a – 10
Six times the number = 6 × a = 6a
sum of six times the number and 4 = 6a + 4
As given,
8a – 10 = 6a + 4
8a – 6a – 10 = 4
2a – 10 = 4
2a = 4 + 10
2a = 14
a = 14/2
a = 7
Therefore, the number is 7
Verification :
Put a = 7,
Eight times the number = 8 × 7 = 56
Eight times the number reduced by 10 = 56 – 10 = 46
Six times the number = 6 × 7 = 42
sum of six times the number and 4 = 42 + 4 = 46
Eight times the number reduced by 10 is equal to the sum of six times the number and 4
Hence verified!