A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.

Let the two-digit number be 10x + y. If the number is 4 times the sum of its digits. ⇒ 10x + y = 4(x + y) ⇒ 10x + y = 4x + 4y ⇒ 10x - 4x = 4y - y ⇒ 6x = 3y ⇒ 2x = y .......... (1) And, the number is twice the product of its digits. ⇒ 10x + y = 2(xy) Using equation (1), we get ⇒ 10x + 2x = 2(x 2x) ⇒ 12x = 2(2x2) ⇒ 12x = 4x2 ⇒ 12 = 4x ⇒ 3 = x Putting the value of x in equation (1), we get y = 2x = 2 3 = 6 The number = 10x + y = 10 3 + 6 = 30 + 6 = 36 Hence, the number = 36.

A and B together can do a piece of work in 6 days. Whereas A alone can do the same work in 9 days. Then B alone will do same work in:
15 days
6 days
18 days
54 days

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Mathematics

A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.

Quadratic Equations

Related Questions

A and B together can do a piece of work in 6 days. Whereas A alone can do the same work in 9 days. Then B alone will do same work in:
15 days
6 days
18 days
54 days

Mathematics

A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.

Quadratic Equations

Related Questions

A and B together can do a piece of work in 6 days. Whereas A alone can do the same work in 9 days. Then B alone will do same work in:15 days6 days18 days54 days

A and B together can do a piece of work in 6 days. Whereas A alone can do the same work in 9 days. Then B alone will do same work in:
15 days
6 days
18 days
54 days