Bob’s age is 15 years less than half his father’s age. In six years his father’s age will be eleven years more than triple Bob’s age. What is his father’s age now

His father's age is 44 yearsStep-by-step explanation:The given is:Bob’s age is 15 years less than half his father’s ageIn six years his father’s age will be eleven years more than triple Bob’s ageWe need to find his father’s age nowAssume that the Father's age is x years ∵ The father's age is x years∵ Bob’s age is 15 years less than half his father’s age- That means multiply x by half and subtract 15 from it∴ Bob's age = [tex]\frac{1}{2}[/tex] x - 15In six years The father's age = x + 6The Bob's age = [tex]\frac{1}{2}[/tex] x - 15 + 6 = [tex]\frac{1}{2}[/tex] x - 9∵ In six years his father’s age will be eleven years more than    triple Bob’s age- That means equate (x + 6) by 3 times Bob's age and add 11    to the product∴ x + 6 = 3( [tex]\frac{1}{2}[/tex] x - 9) + 11- Simplify the right hand side∴ x + 6 = [tex]\frac{3}{2}[/tex] x - 27 + 11- Add like terms in the right hand side∴ x + 6 = [tex]\frac{3}{2}[/tex] x -16- Subtract 6 from both sides∴ x = [tex]\frac{3}{2}[/tex] x - 22- Subtract [tex]\frac{3}{2}[/tex] x from both sides∴ [tex]\frac{-1}{2}[/tex] x = -22- Divide both sides by [tex]\frac{-1}{2}[/tex]∴ x = 44His father's age is 44 yearsLearn more;You can learn more about the world problems in brainly.com/question/12148432#LearnwithBrainly