# If a : B = 3 : 8. Find the Value of (4a + 3b)/(6a - B) - Mathematics

Sum

If a : b = 3 : 8. Find the value of (4a + 3b)/(6a - b)

#### Solution

a : b = 3 : 8

=> a/b = 3/8

(4a + 3b)/(6a - b) = (4(a/b) + 3)/(6(a/b) - 1)  (Dividing each term by b)

= (4(3/8) + 3)/(6(3/8) - 1)

= (3/2 + 3)/(9/4  - 1)

= (9/2)/(5/4)

= 18/5

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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (A) | Q 3 | Page 87